507761064 has 96 divisors (see below), whose sum is σ = 1473937920. Its totient is φ = 157500288.

The previous prime is 507761039. The next prime is 507761077. The reversal of 507761064 is 460167705.

It is a super-2 number, since 2×507761064² = 515642596228824192, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 57129 + ... + 65415.

It is an arithmetic number, because the mean of its divisors is an integer number (15353520).

Almost surely, 2^507761064 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 507761064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736968960).

507761064 is an abundant number, since it is smaller than the sum of its proper divisors (966176856).

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

507761064 is a wasteful number, since it uses less digits than its factorization.

507761064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8359 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 507761064 is about 22533.5541803773. The cubic root of 507761064 is about 797.7860997923.

The spelling of 507761064 in words is "five hundred seven million, seven hundred sixty-one thousand, sixty-four".