61888768 has 54 divisors (see below), whose sum is σ = 129423014. Its totient is φ = 29534208.

The previous prime is 61888763. The next prime is 61888781. The reversal of 61888768 is 86788816.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 2166784 = 7728^2 + 1472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61888763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135196 + ... + 135652.

Almost surely, 2^61888768 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 61888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64711507).

61888768 is an abundant number, since it is smaller than the sum of its proper divisors (67534246).

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

61888768 is an equidigital number, since it uses as much as digits as its factorization.

61888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 482 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 52.

The square root of 61888768 is about 7866.9414641270. The cubic root of 61888768 is about 395.5523288510.

The spelling of 61888768 in words is "sixty-one million, eight hundred eighty-eight thousand, seven hundred sixty-eight".