902153840 has 160 divisors (see below), whose sum is σ = 2532695040. Its totient is φ = 292165632.

The previous prime is 902153797. The next prime is 902153887. The reversal of 902153840 is 48351209.

902153840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 902153797 and 902153806.

It is a congruent number.

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, 1145927 + ... + 1146713.

It is an arithmetic number, because the mean of its divisors is an integer number (15829344).

Almost surely, 2^902153840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266347520).

902153840 is an abundant number, since it is smaller than the sum of its proper divisors (1630541200).

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

902153840 is a wasteful number, since it uses less digits than its factorization.

902153840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 902153840 is about 30035.8758820182. The cubic root of 902153840 is about 966.2589597889.

The spelling of 902153840 in words is "nine hundred two million, one hundred fifty-three thousand, eight hundred forty".