126964900 has 36 divisors (see below), whose sum is σ = 285020820. Its totient is φ = 49033600.

The previous prime is 126964847. The next prime is 126964913. The reversal of 126964900 is 9469621.

It can be written as a sum of positive squares in 6 ways, for example, as 5788836 + 121176064 = 2406^2 + 11008^2 .

It is a super-2 number, since 2×126964900² = 32240171664020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126964900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18991 + ... + 24790.

It is an arithmetic number, because the mean of its divisors is an integer number (7917245).

Almost surely, 2^126964900 is an apocalyptic number.

126964900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126964900 is an abundant number, since it is smaller than the sum of its proper divisors (158055920).

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

126964900 is a wasteful number, since it uses less digits than its factorization.

126964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43824 (or 43817 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 126964900 is about 11267.8702512942. The cubic root of 126964900 is about 502.6062579019.

The spelling of 126964900 in words is "one hundred twenty-six million, nine hundred sixty-four thousand, nine hundred".