668893824 has 96 divisors (see below), whose sum is σ = 1932035040. Its totient is φ = 222128640.

The previous prime is 668893793. The next prime is 668893831. The reversal of 668893824 is 428398866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 357339 + ... + 359205.

It is an arithmetic number, because the mean of its divisors is an integer number (20125365).

Almost surely, 2^668893824 is an apocalyptic number.

668893824 is a gapful number since it is divisible by the number (64) 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 668893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966017520).

668893824 is an abundant number, since it is smaller than the sum of its proper divisors (1263141216).

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

668893824 is a wasteful number, since it uses less digits than its factorization.

668893824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2183 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 668893824 is about 25862.9817306512. The cubic root of 668893824 is about 874.5521840216.

The spelling of 668893824 in words is "six hundred sixty-eight million, eight hundred ninety-three thousand, eight hundred twenty-four".