690825600 has 432 divisors, whose sum is σ = 2650103820. Its totient is φ = 171294720.

The previous prime is 690825593. The next prime is 690825601. The reversal of 690825600 is 6528096.

690825600 is a `hidden beast` number, since 6 + 90 + 8 + 2 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690825601) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 8323159 + ... + 8323241.

Almost surely, 2^690825600 is an apocalyptic number.

690825600 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 690825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325051910).

690825600 is an abundant number, since it is smaller than the sum of its proper divisors (1959278220).

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

690825600 is a wasteful number, since it uses less digits than its factorization.

690825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 690825600 is about 26283.5614025193. The cubic root of 690825600 is about 884.0078894759.

The spelling of 690825600 in words is "six hundred ninety million, eight hundred twenty-five thousand, six hundred".