61312264 has 48 divisors (see below), whose sum is σ = 128402820. Its totient is φ = 27283200.

The previous prime is 61312253. The next prime is 61312271. The reversal of 61312264 is 46221316.

It can be written as a sum of positive squares in 6 ways, for example, as 32604100 + 28708164 = 5710^2 + 5358^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87114 + ... + 87814.

Almost surely, 2^61312264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61312264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64201410).

61312264 is an abundant number, since it is smaller than the sum of its proper divisors (67090556).

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

61312264 is a wasteful number, since it uses less digits than its factorization.

61312264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 745 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 61312264 is about 7830.2148118682. The cubic root of 61312264 is about 394.3202837735.

The spelling of 61312264 in words is "sixty-one million, three hundred twelve thousand, two hundred sixty-four".