61564080 has 40 divisors (see below), whose sum is σ = 190849392. Its totient is φ = 16417024.

The previous prime is 61564079. The next prime is 61564127. The reversal of 61564080 is 8046516.

61564080 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 128019 + ... + 128498.

Almost surely, 2^61564080 is an apocalyptic number.

61564080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61564080 is an abundant number, since it is smaller than the sum of its proper divisors (129285312).

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

61564080 is a wasteful number, since it uses less digits than its factorization.

61564080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256533 (or 256527 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61564080 is about 7846.2780985637. The cubic root of 61564080 is about 394.8593848683.

The spelling of 61564080 in words is "sixty-one million, five hundred sixty-four thousand, eighty".