506987640 has 256 divisors, whose sum is σ = 1838592000. Its totient is φ = 123793920.

The previous prime is 506987633. The next prime is 506987681. The reversal of 506987640 is 46789605.

506987640 is a `hidden beast` number, since 506 + 9 + 87 + 64 + 0 = 666.

It is a super-2 number, since 2×506987640² = 514072934225539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635722 + ... + 636518.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^506987640 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 506987640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

506987640 is an abundant number, since it is smaller than the sum of its proper divisors (1331604360).

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

506987640 is a wasteful number, since it uses less digits than its factorization.

506987640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 506987640 is about 22516.3860332870. The cubic root of 506987640 is about 797.3808301280.

The spelling of 506987640 in words is "five hundred six million, nine hundred eighty-seven thousand, six hundred forty".