126362880 has 216 divisors, whose sum is σ = 499978752. Its totient is φ = 28864512.

The previous prime is 126362869. The next prime is 126362911. The reversal of 126362880 is 88263621.

126362880 is a `hidden beast` number, since 1 + 26 + 3 + 628 + 8 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 79857 + ... + 81423.

Almost surely, 2^126362880 is an apocalyptic number.

126362880 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 126362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249989376).

126362880 is an abundant number, since it is smaller than the sum of its proper divisors (373615872).

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

126362880 is a wasteful number, since it uses less digits than its factorization.

126362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 126362880 is about 11241.1244989102. The cubic root of 126362880 is about 501.8106088105.

The spelling of 126362880 in words is "one hundred twenty-six million, three hundred sixty-two thousand, eight hundred eighty".