126264456 has 24 divisors (see below), whose sum is σ = 341966430. Its totient is φ = 42088128.

The previous prime is 126264433. The next prime is 126264473. The reversal of 126264456 is 654462621.

126264456 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 644 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93431556 + 32832900 = 9666^2 + 5730^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 126264456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 876765 + ... + 876908.

Almost surely, 2^126264456 is an apocalyptic number.

It is an amenable number.

126264456 is an abundant number, since it is smaller than the sum of its proper divisors (215701974).

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

126264456 is a wasteful number, since it uses less digits than its factorization.

126264456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753685 (or 1753678 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 126264456 is about 11236.7457922657. The cubic root of 126264456 is about 501.6802882706.

The spelling of 126264456 in words is "one hundred twenty-six million, two hundred sixty-four thousand, four hundred fifty-six".