126923616 has 144 divisors (see below), whose sum is σ = 380684304. Its totient is φ = 40061952.

The previous prime is 126923611. The next prime is 126923617. The reversal of 126923616 is 616329621.

It is a happy number.

126923616 is a `hidden beast` number, since 12 + 6 + 9 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×126923616² = 32219208597030912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126923611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458070 + ... + 458346.

It is an arithmetic number, because the mean of its divisors is an integer number (2643641).

Almost surely, 2^126923616 is an apocalyptic number.

126923616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126923616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190342152).

126923616 is an abundant number, since it is smaller than the sum of its proper divisors (253760688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126923616 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (126923615) it forms an eRAP, since the sums of their prime factors are consecutive (372 and 373).

126923616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 126923616 is about 11266.0381678743. The cubic root of 126923616 is about 502.5517760565.

The spelling of 126923616 in words is "one hundred twenty-six million, nine hundred twenty-three thousand, six hundred sixteen".