61296912 has 50 divisors (see below), whose sum is σ = 177414798. Its totient is φ = 20431872.

The previous prime is 61296899. The next prime is 61296943. The reversal of 61296912 is 21969216.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 14017536 = 6876^2 + 3744^2 .

It is a super-2 number, since 2×61296912² = 7514622841471488, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 9 ways as a sum of consecutive naturals, for example, 22353 + ... + 24944.

Almost surely, 2^61296912 is an apocalyptic number.

It is an amenable number.

61296912 is an abundant number, since it is smaller than the sum of its proper divisors (116117886).

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

61296912 is a wasteful number, since it uses less digits than its factorization.

61296912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47317 (or 47302 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61296912 is about 7829.2344453337. The cubic root of 61296912 is about 394.2873696933.

It can be divided in two parts, 6129 and 6912, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 61296912 in words is "sixty-one million, two hundred ninety-six thousand, nine hundred twelve".