690792960 has 640 divisors, whose sum is σ = 2821319424. Its totient is φ = 141557760.

The previous prime is 690792959. The next prime is 690792961. The reversal of 690792960 is 69297096.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (690792959) and next prime (690792961).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690792961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18670062 + ... + 18670098.

Almost surely, 2^690792960 is an apocalyptic number.

690792960 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 690792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410659712).

690792960 is an abundant number, since it is smaller than the sum of its proper divisors (2130526464).

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

690792960 is a wasteful number, since it uses less digits than its factorization.

690792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 690792960 is about 26282.9404747642. The cubic root of 690792960 is about 883.9939667763.

The spelling of 690792960 in words is "six hundred ninety million, seven hundred ninety-two thousand, nine hundred sixty".