690790464 has 448 divisors, whose sum is σ = 2621767680. Its totient is φ = 173352960.

The previous prime is 690790439. The next prime is 690790489. The reversal of 690790464 is 464097096.

It is an interprime number because it is at equal distance from previous prime (690790439) and next prime (690790489).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3616609 + ... + 3616799.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^690790464 is an apocalyptic number.

690790464 is a gapful number since it is divisible by the number (64) 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 690790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310883840).

690790464 is an abundant number, since it is smaller than the sum of its proper divisors (1930977216).

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

690790464 is a wasteful number, since it uses less digits than its factorization.

690790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 690790464 is about 26282.8929914498. The cubic root of 690790464 is about 883.9929020812.

The spelling of 690790464 in words is "six hundred ninety million, seven hundred ninety thousand, four hundred sixty-four".