507607632 has 120 divisors (see below), whose sum is σ = 1628687424. Its totient is φ = 144571392.

The previous prime is 507607601. The next prime is 507607637. The reversal of 507607632 is 236706705.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507607637) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 435883 + ... + 437045.

Almost surely, 2^507607632 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 507607632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814343712).

507607632 is an abundant number, since it is smaller than the sum of its proper divisors (1121079792).

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

507607632 is a wasteful number, since it uses less digits than its factorization.

507607632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 507607632 is about 22530.1494003036. The cubic root of 507607632 is about 797.7057350585.

The spelling of 507607632 in words is "five hundred seven million, six hundred seven thousand, six hundred thirty-two".