61313664 has 32 divisors (see below), whose sum is σ = 162865440. Its totient is φ = 20437760.

The previous prime is 61313647. The next prime is 61313671. The reversal of 61313664 is 46631316.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 79452 + ... + 80219.

It is an arithmetic number, because the mean of its divisors is an integer number (5089545).

Almost surely, 2^61313664 is an apocalyptic number.

61313664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61313664 is an abundant number, since it is smaller than the sum of its proper divisors (101551776).

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

61313664 is a wasteful number, since it uses less digits than its factorization.

61313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159688 (or 159676 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 61313664 is about 7830.3042086499. The cubic root of 61313664 is about 394.3232850447.

The spelling of 61313664 in words is "sixty-one million, three hundred thirteen thousand, six hundred sixty-four".