61140864 has 64 divisors (see below), whose sum is σ = 164322000. Its totient is φ = 20140032.

The previous prime is 61140829. The next prime is 61140887. The reversal of 61140864 is 46804116.

61140864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 33282 + ... + 35070.

Almost surely, 2^61140864 is an apocalyptic number.

61140864 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 61140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82161000).

61140864 is an abundant number, since it is smaller than the sum of its proper divisors (103181136).

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

61140864 is a wasteful number, since it uses less digits than its factorization.

61140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61140864 is about 7819.2623693031. The cubic root of 61140864 is about 393.9524966993.

The spelling of 61140864 in words is "sixty-one million, one hundred forty thousand, eight hundred sixty-four".