126290880 has 224 divisors, whose sum is σ = 456468480. Its totient is φ = 32855040.

The previous prime is 126290867. The next prime is 126290903. The reversal of 126290880 is 88092621.

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 31 ways as a sum of consecutive naturals, for example, 405925 + ... + 406235.

Almost surely, 2^126290880 is an apocalyptic number.

126290880 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 126290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234240).

126290880 is an abundant number, since it is smaller than the sum of its proper divisors (330177600).

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

126290880 is a wasteful number, since it uses less digits than its factorization.

126290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 126290880 is about 11237.9215160100. The cubic root of 126290880 is about 501.7152822182.

The spelling of 126290880 in words is "one hundred twenty-six million, two hundred ninety thousand, eight hundred eighty".