64112580 has 144 divisors (see below), whose sum is σ = 232122240. Its totient is φ = 14648256.

The previous prime is 64112551. The next prime is 64112597. The reversal of 64112580 is 8521146.

64112580 is a `hidden beast` number, since 641 + 12 + 5 + 8 + 0 = 666.

64112580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64112580² = 8220845828512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 25249 + ... + 27671.

It is an arithmetic number, because the mean of its divisors is an integer number (1611960).

Almost surely, 2^64112580 is an apocalyptic number.

64112580 is a gapful number since it is divisible by the number (60) 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 64112580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116061120).

64112580 is an abundant number, since it is smaller than the sum of its proper divisors (168009660).

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

64112580 is a wasteful number, since it uses less digits than its factorization.

64112580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 64112580 is about 8007.0331584177. The cubic root of 64112580 is about 400.2344042764.

The spelling of 64112580 in words is "sixty-four million, one hundred twelve thousand, five hundred eighty".