61284864 has 80 divisors (see below), whose sum is σ = 172944288. Its totient is φ = 19218432.

The previous prime is 61284829. The next prime is 61284889. The reversal of 61284864 is 46848216.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24939 + ... + 27285.

Almost surely, 2^61284864 is an apocalyptic number.

61284864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86472144).

61284864 is an abundant number, since it is smaller than the sum of its proper divisors (111659424).

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

61284864 is a wasteful number, since it uses less digits than its factorization.

61284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2369 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 61284864 is about 7828.4649836350. The cubic root of 61284864 is about 394.2615354093.

The spelling of 61284864 in words is "sixty-one million, two hundred eighty-four thousand, eight hundred sixty-four".