696362400 has 288 divisors, whose sum is σ = 2551086720. Its totient is φ = 183306240.

The previous prime is 696362399. The next prime is 696362411. The reversal of 696362400 is 4263696.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2224644 + ... + 2224956.

It is an arithmetic number, because the mean of its divisors is an integer number (8857940).

Almost surely, 2^696362400 is an apocalyptic number.

696362400 is a gapful number since it is divisible by the number (60) 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 696362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275543360).

696362400 is an abundant number, since it is smaller than the sum of its proper divisors (1854724320).

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

696362400 is a wasteful number, since it uses less digits than its factorization.

696362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 696362400 is about 26388.6793909813. The cubic root of 696362400 is about 886.3633110273.

The spelling of 696362400 in words is "six hundred ninety-six million, three hundred sixty-two thousand, four hundred".