126590016 has 112 divisors (see below), whose sum is σ = 386242560. Its totient is φ = 35842560.

The previous prime is 126590011. The next prime is 126590021. The reversal of 126590016 is 610095621.

It is an interprime number because it is at equal distance from previous prime (126590011) and next prime (126590021).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126590011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175705 + ... + 176423.

Almost surely, 2^126590016 is an apocalyptic number.

126590016 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 126590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193121280).

126590016 is an abundant number, since it is smaller than the sum of its proper divisors (259652544).

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

126590016 is a wasteful number, since it uses less digits than its factorization.

126590016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 126590016 is about 11251.2228668710. Note that the first 3 decimals coincide. The cubic root of 126590016 is about 502.1110953415. Note that the first 3 decimals are identical.

The spelling of 126590016 in words is "one hundred twenty-six million, five hundred ninety thousand, sixteen".