690062400 has 252 divisors, whose sum is σ = 2475727332. Its totient is φ = 182292480.

The previous prime is 690062383. The next prime is 690062423. The reversal of 690062400 is 4260096.

It can be written as a sum of positive squares in 6 ways, for example, as 4460544 + 685601856 = 2112^2 + 26184^2 .

It is a super-2 number, since 2×690062400² = 952372231787520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2491062 + ... + 2491338.

Almost surely, 2^690062400 is an apocalyptic number.

690062400 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 690062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237863666).

690062400 is an abundant number, since it is smaller than the sum of its proper divisors (1785664932).

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

690062400 is a wasteful number, since it uses less digits than its factorization.

690062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 690062400 is about 26269.0388099755. The cubic root of 690062400 is about 883.6822291712.

The spelling of 690062400 in words is "six hundred ninety million, sixty-two thousand, four hundred".