612584064 has 96 divisors (see below), whose sum is σ = 1769944800. Its totient is φ = 203364864.

The previous prime is 612584057. The next prime is 612584113. The reversal of 612584064 is 460485216.

612584064 is a `hidden beast` number, since 6 + 12 + 584 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325077 + ... + 326955.

It is an arithmetic number, because the mean of its divisors is an integer number (18436925).

Almost surely, 2^612584064 is an apocalyptic number.

612584064 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 612584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884972400).

612584064 is an abundant number, since it is smaller than the sum of its proper divisors (1157360736).

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

612584064 is a wasteful number, since it uses less digits than its factorization.

612584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 612584064 is about 24750.4356325298. The cubic root of 612584064 is about 849.2884767629.

The spelling of 612584064 in words is "six hundred twelve million, five hundred eighty-four thousand, sixty-four".