697964256 has 384 divisors, whose sum is σ = 2415329280. Its totient is φ = 193881600.

The previous prime is 697964249. The next prime is 697964269. The reversal of 697964256 is 652469796.

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

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 63 ways as a sum of consecutive naturals, for example, 6776301 + ... + 6776403.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2^697964256 is an apocalyptic number.

697964256 is a gapful number since it is divisible by the number (66) 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 697964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207664640).

697964256 is an abundant number, since it is smaller than the sum of its proper divisors (1717365024).

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

697964256 is a wasteful number, since it uses less digits than its factorization.

697964256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 697964256 is about 26419.0131534090. The cubic root of 697964256 is about 887.0424301624.

The spelling of 697964256 in words is "six hundred ninety-seven million, nine hundred sixty-four thousand, two hundred fifty-six".