690923520 has 720 divisors, whose sum is σ = 3050267220. Its totient is φ = 148635648.

The previous prime is 690923501. The next prime is 690923539. The reversal of 690923520 is 25329096.

It is an interprime number because it is at equal distance from previous prime (690923501) and next prime (690923539).

It can be written as a sum of positive squares in 2 ways, for example, as 686859264 + 4064256 = 26208^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642552 + ... + 40642568.

Almost surely, 2^690923520 is an apocalyptic number.

690923520 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 690923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525133610).

690923520 is an abundant number, since it is smaller than the sum of its proper divisors (2359343700).

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

690923520 is a wasteful number, since it uses less digits than its factorization.

690923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 690923520 is about 26285.4240977771. The cubic root of 690923520 is about 884.0496549437.

The spelling of 690923520 in words is "six hundred ninety million, nine hundred twenty-three thousand, five hundred twenty".