126607504 has 45 divisors (see below), whose sum is σ = 256698507. Its totient is φ = 60490752.

The previous prime is 126607487. The next prime is 126607511. The reversal of 126607504 is 405706621.

It is a happy number.

The square root of 126607504 is 11252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 90000 + 126517504 = 300^2 + 11248^2 .

It is a super-2 number, since 2×126607504² = 32058920138220032, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1305184 + ... + 1305280.

Almost surely, 2^126607504 is an apocalyptic number.

126607504 is the 11252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126607504

126607504 is an abundant number, since it is smaller than the sum of its proper divisors (130091003).

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

126607504 is an frugal number, since it uses more digits than its factorization.

126607504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 126607504 is about 502.1342159498.

It can be divided in two parts, 12660 and 7504, that added together give a square (20164 = 142²).

The spelling of 126607504 in words is "one hundred twenty-six million, six hundred seven thousand, five hundred four".