126372960 has 360 divisors, whose sum is σ = 521413200. Its totient is φ = 28740096.

The previous prime is 126372937. The next prime is 126372973. The reversal of 126372960 is 69273621.

126372960 is a `hidden beast` number, since 12 + 637 + 2 + 9 + 6 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 634941 + ... + 635139.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 2^126372960 is an apocalyptic number.

126372960 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 126372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260706600).

126372960 is an abundant number, since it is smaller than the sum of its proper divisors (395040240).

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

126372960 is a wasteful number, since it uses less digits than its factorization.

126372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 126372960 is about 11241.5728436905. The cubic root of 126372960 is about 501.8239516436.

The spelling of 126372960 in words is "one hundred twenty-six million, three hundred seventy-two thousand, nine hundred sixty".