902880 has 192 divisors, whose sum is σ = 3628800. Its totient is φ = 207360.

The previous prime is 902873. The next prime is 902903. The reversal of 902880 is 88209.

902880 = T₁₅₃ + T₁₅₄ + ... + T₂₀₇.

902880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 902880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47511 + ... + 47529.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁹⁰²⁸⁸⁰ is an apocalyptic number.

902880 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 902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

902880 is an abundant number, since it is smaller than the sum of its proper divisors (2725920).

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

902880 is a wasteful number, since it uses less digits than its factorization.

902880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 902880 is about 950.1999789518. The cubic root of 902880 is about 96.6518143386.

The spelling of 902880 in words is "nine hundred two thousand, eight hundred eighty".