902949120 has 216 divisors, whose sum is σ = 3240933696. Its totient is φ = 240703488.

The previous prime is 902949083. The next prime is 902949161. The reversal of 902949120 is 21949209.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×902949120² = 1630634226617548800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309589 + ... + 312491.

Almost surely, 2^902949120 is an apocalyptic number.

902949120 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 902949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620466848).

902949120 is an abundant number, since it is smaller than the sum of its proper divisors (2337984576).

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

902949120 is an equidigital number, since it uses as much as digits as its factorization.

902949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 902949120 is about 30049.1118005175. Note that the first 3 decimals coincide. The cubic root of 902949120 is about 966.5428066961.

The spelling of 902949120 in words is "nine hundred two million, nine hundred forty-nine thousand, one hundred twenty".