126621792 has 120 divisors (see below), whose sum is σ = 406336392. Its totient is φ = 38361600.

The previous prime is 126621791. The next prime is 126621793. The reversal of 126621792 is 297126621.

126621792 is a `hidden beast` number, since 1 + 26 + 621 + 7 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126621791) and next prime (126621793).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126621791) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26292 + ... + 30732.

Almost surely, 2^126621792 is an apocalyptic number.

126621792 is a gapful number since it is divisible by the number (12) 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 126621792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203168196).

126621792 is an abundant number, since it is smaller than the sum of its proper divisors (279714600).

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

126621792 is a wasteful number, since it uses less digits than its factorization.

126621792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4457 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 126621792 is about 11252.6348914376. The cubic root of 126621792 is about 502.1531043084.

The spelling of 126621792 in words is "one hundred twenty-six million, six hundred twenty-one thousand, seven hundred ninety-two".