507106764 has 96 divisors (see below), whose sum is σ = 1345639680. Its totient is φ = 165110400.

The previous prime is 507106763. The next prime is 507106777. The reversal of 507106764 is 467601705.

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

It is not an unprimeable number, because it can be changed into a prime (507106763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032559 + ... + 1033049.

It is an arithmetic number, because the mean of its divisors is an integer number (14017080).

Almost surely, 2^507106764 is an apocalyptic number.

507106764 is a gapful number since it is divisible by the number (54) 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 507106764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672819840).

507106764 is an abundant number, since it is smaller than the sum of its proper divisors (838532916).

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

507106764 is a wasteful number, since it uses less digits than its factorization.

507106764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

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

The square root of 507106764 is about 22519.0311514505. The cubic root of 507106764 is about 797.4432772489.

The spelling of 507106764 in words is "five hundred seven million, one hundred six thousand, seven hundred sixty-four".