126335880 has 192 divisors, whose sum is σ = 456131520. Its totient is φ = 30067200.

The previous prime is 126335851. The next prime is 126335897. The reversal of 126335880 is 88533621.

126335880 is a `hidden beast` number, since 12 + 63 + 3 + 588 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241299 + ... + 241821.

It is an arithmetic number, because the mean of its divisors is an integer number (2375685).

Almost surely, 2^126335880 is an apocalyptic number.

126335880 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 126335880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228065760).

126335880 is an abundant number, since it is smaller than the sum of its proper divisors (329795640).

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

126335880 is a wasteful number, since it uses less digits than its factorization.

126335880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 126335880 is about 11239.9234872841. The cubic root of 126335880 is about 501.7748655829.

The spelling of 126335880 in words is "one hundred twenty-six million, three hundred thirty-five thousand, eight hundred eighty".