61847680 has 64 divisors (see below), whose sum is σ = 151525080. Its totient is φ = 24125440.

The previous prime is 61847677. The next prime is 61847701. The reversal of 61847680 is 8674816.

61847680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 39037504 = 4776^2 + 6248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25062 + ... + 27418.

Almost surely, 2^61847680 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 61847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75762540).

61847680 is an abundant number, since it is smaller than the sum of its proper divisors (89677400).

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

61847680 is a wasteful number, since it uses less digits than its factorization.

61847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 61847680 is about 7864.3295963483. The cubic root of 61847680 is about 395.4647736418.

The spelling of 61847680 in words is "sixty-one million, eight hundred forty-seven thousand, six hundred eighty".