688852516 has 27 divisors (see below), whose sum is σ = 1326156433. Its totient is φ = 312852320.

The previous prime is 688852511. The next prime is 688852537. The reversal of 688852516 is 615258886.

It is a happy number.

The square root of 688852516 is 26246.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 353816100 + 335036416 = 18810^2 + 18304^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 688852516.

It is not an unprimeable number, because it can be changed into a prime (688852511) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 576816 + ... + 578008.

Almost surely, 2^688852516 is an apocalyptic number.

688852516 is the 26246-th square number.

It is an amenable number.

688852516 is a deficient number, since it is larger than the sum of its proper divisors (637303917).

688852516 is a wasteful number, since it uses less digits than its factorization.

688852516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 1206 counting only the distinct ones).

The product of its digits is 921600, while the sum is 49.

The cubic root of 688852516 is about 883.1654747217.

Multiplying 688852516 by its sum of digits (49), we get a square (33753773284 = 183722²).

Multiplying 688852516 by its product of digits (921600), we get a square (634846478745600 = 25196160²).

The spelling of 688852516 in words is "six hundred eighty-eight million, eight hundred fifty-two thousand, five hundred sixteen".