126416564 has 12 divisors (see below), whose sum is σ = 221348484. Its totient is φ = 63174144.

The previous prime is 126416551. The next prime is 126416567. The reversal of 126416564 is 465614621.

It can be written as a sum of positive squares in 2 ways, for example, as 9560464 + 116856100 = 3092^2 + 10810^2 .

It is a super-2 number, since 2×126416564² = 31962295307132192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126416567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 974 + ... + 15930.

It is an arithmetic number, because the mean of its divisors is an integer number (18445707).

Almost surely, 2^126416564 is an apocalyptic number.

It is an amenable number.

126416564 is a deficient number, since it is larger than the sum of its proper divisors (94931920).

126416564 is a wasteful number, since it uses less digits than its factorization.

126416564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17074 (or 17072 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 126416564 is about 11243.5120847536. The cubic root of 126416564 is about 501.8816618146.

The spelling of 126416564 in words is "one hundred twenty-six million, four hundred sixteen thousand, five hundred sixty-four".