690638400 has 315 divisors, whose sum is σ = 2573864931. Its totient is φ = 181647360.

The previous prime is 690638387. The next prime is 690638423. The reversal of 690638400 is 4836096.

The square root of 690638400 is 26280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 686859264 = 1944^2 + 26208^2 .

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 44 ways as a sum of consecutive naturals, for example, 9460764 + ... + 9460836.

Almost surely, 2^690638400 is an apocalyptic number.

690638400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

690638400 is the 26280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 690638400

690638400 is an abundant number, since it is smaller than the sum of its proper divisors (1883226531).

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

690638400 is an equidigital number, since it uses as much as digits as its factorization.

690638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 690638400 is about 883.9280327427.

Multiplying 690638400 by its sum of digits (36), we get a square (24862982400 = 157680²).

690638400 divided by its sum of digits (36) gives a square (19184400 = 4380²).

The spelling of 690638400 in words is "six hundred ninety million, six hundred thirty-eight thousand, four hundred".