61886464 has 52 divisors (see below), whose sum is σ = 128271060. Its totient is φ = 29818880.

The previous prime is 61886453. The next prime is 61886471. The reversal of 61886464 is 46468816.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 36966400 = 4992^2 + 6080^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61886464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118524 + ... + 119044.

Almost surely, 2^61886464 is an apocalyptic number.

61886464 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 61886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64135530).

61886464 is an abundant number, since it is smaller than the sum of its proper divisors (66384596).

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

61886464 is an equidigital number, since it uses as much as digits as its factorization.

61886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 61886464 is about 7866.7950272014. The cubic root of 61886464 is about 395.5474202388.

The spelling of 61886464 in words is "sixty-one million, eight hundred eighty-six thousand, four hundred sixty-four".