687764952 has 128 divisors (see below), whose sum is σ = 2278425600. Its totient is φ = 187951104.

The previous prime is 687764939. The next prime is 687764953. The reversal of 687764952 is 259467786.

687764952 is a `hidden beast` number, since 6 + 87 + 76 + 495 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687764953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24888 + ... + 44664.

It is an arithmetic number, because the mean of its divisors is an integer number (17800200).

Almost surely, 2^687764952 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 687764952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139212800).

687764952 is an abundant number, since it is smaller than the sum of its proper divisors (1590660648).

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

687764952 is a wasteful number, since it uses less digits than its factorization.

687764952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19822 (or 19812 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 687764952 is about 26225.2731539635. The cubic root of 687764952 is about 882.7004477974.

The spelling of 687764952 in words is "six hundred eighty-seven million, seven hundred sixty-four thousand, nine hundred fifty-two".