126385920 has 360 divisors, whose sum is σ = 480797856. Its totient is φ = 31629312.

The previous prime is 126385913. The next prime is 126385921. The reversal of 126385920 is 29583621.

126385920 is a `hidden beast` number, since 1 + 2 + 63 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126385921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384614 + ... + 2384666.

Almost surely, 2^126385920 is an apocalyptic number.

126385920 is a gapful number since it is divisible by the number (10) 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 126385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240398928).

126385920 is an abundant number, since it is smaller than the sum of its proper divisors (354411936).

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

126385920 is an equidigital number, since it uses as much as digits as its factorization.

126385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 126385920 is about 11242.1492607063. The cubic root of 126385920 is about 501.8411056722.

The spelling of 126385920 in words is "one hundred twenty-six million, three hundred eighty-five thousand, nine hundred twenty".