126972580 has 48 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 43400448.

The previous prime is 126972569. The next prime is 126972583. The reversal of 126972580 is 85279621.

It is a super-2 number, since 2×126972580² = 32244072143712800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126972583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51864 + ... + 54256.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2^126972580 is an apocalyptic number.

126972580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126972580 is an abundant number, since it is smaller than the sum of its proper divisors (178693340).

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

126972580 is a wasteful number, since it uses less digits than its factorization.

126972580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 126972580 is about 11268.2110381373. The cubic root of 126972580 is about 502.6163917741.

The spelling of 126972580 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, five hundred eighty".