690384960 has 336 divisors, whose sum is σ = 2567635200. Its totient is φ = 169623552.

The previous prime is 690384949. The next prime is 690384979. The reversal of 690384960 is 69483096.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2888521 + ... + 2888759.

Almost surely, 2^690384960 is an apocalyptic number.

690384960 is a gapful number since it is divisible by the number (60) 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 690384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283817600).

690384960 is an abundant number, since it is smaller than the sum of its proper divisors (1877250240).

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

690384960 is a wasteful number, since it uses less digits than its factorization.

690384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 690384960 is about 26275.1776397420. The cubic root of 690384960 is about 883.8198960154.

The spelling of 690384960 in words is "six hundred ninety million, three hundred eighty-four thousand, nine hundred sixty".