902263680 has 288 divisors, whose sum is σ = 3239126280. Its totient is φ = 231413760.

The previous prime is 902263673. The next prime is 902263693. The reversal of 902263680 is 86362209.

902263680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 5535279 + ... + 5535441.

Almost surely, 2^902263680 is an apocalyptic number.

902263680 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 902263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619563140).

902263680 is an abundant number, since it is smaller than the sum of its proper divisors (2336862600).

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

902263680 is a wasteful number, since it uses less digits than its factorization.

902263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 902263680 is about 30037.7043064213. The cubic root of 902263680 is about 966.2981731959.

The spelling of 902263680 in words is "nine hundred two million, two hundred sixty-three thousand, six hundred eighty".