688869972 has 144 divisors (see below), whose sum is σ = 2075673600. Its totient is φ = 188490240.

The previous prime is 688869953. The next prime is 688869977. The reversal of 688869972 is 279968886.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688869977) 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 47 ways as a sum of consecutive naturals, for example, 851104 + ... + 851912.

It is an arithmetic number, because the mean of its divisors is an integer number (14414400).

Almost surely, 2^688869972 is an apocalyptic number.

688869972 is a gapful number since it is divisible by the number (62) 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 688869972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

688869972 is an abundant number, since it is smaller than the sum of its proper divisors (1386803628).

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

688869972 is a wasteful number, since it uses less digits than its factorization.

688869972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 961 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 688869972 is about 26246.3325438050. The cubic root of 688869972 is about 883.1729346670.

The spelling of 688869972 in words is "six hundred eighty-eight million, eight hundred sixty-nine thousand, nine hundred seventy-two".