904288680 has 96 divisors (see below), whose sum is σ = 2950421760. Its totient is φ = 240201600.

The previous prime is 904288673. The next prime is 904288687. The reversal of 904288680 is 86882409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (904288673) and next prime (904288687).

It is a super-2 number, since 2×904288680² = 1635476033552284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (904288687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89905 + ... + 99455.

It is an arithmetic number, because the mean of its divisors is an integer number (30733560).

Almost surely, 2^904288680 is an apocalyptic number.

904288680 is a gapful number since it is divisible by the number (90) 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 904288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475210880).

904288680 is an abundant number, since it is smaller than the sum of its proper divisors (2046133080).

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

904288680 is a wasteful number, since it uses less digits than its factorization.

904288680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9831 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 904288680 is about 30071.3930505389. The cubic root of 904288680 is about 967.0205384287.

The spelling of 904288680 in words is "nine hundred four million, two hundred eighty-eight thousand, six hundred eighty".