61132464 has 60 divisors (see below), whose sum is σ = 176997600. Its totient is φ = 19673472.

The previous prime is 61132447. The next prime is 61132469. The reversal of 61132464 is 46423116.

61132464 is a `hidden beast` number, since 611 + 3 + 2 + 46 + 4 = 666.

61132464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61132464² = 7474356309422592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61132469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3144 + ... + 11495.

It is an arithmetic number, because the mean of its divisors is an integer number (2949960).

Almost surely, 2^61132464 is an apocalyptic number.

It is an amenable number.

61132464 is an abundant number, since it is smaller than the sum of its proper divisors (115865136).

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

61132464 is a wasteful number, since it uses less digits than its factorization.

61132464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682 (or 14673 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61132464 is about 7818.7252157881. The cubic root of 61132464 is about 393.9344544697.

The spelling of 61132464 in words is "sixty-one million, one hundred thirty-two thousand, four hundred sixty-four".