902661120 has 264 divisors, whose sum is σ = 3295506240. Its totient is φ = 227819520.

The previous prime is 902661113. The next prime is 902661143. The reversal of 902661120 is 21166209.

902661120 is a `hidden beast` number, since 9 + 0 + 26 + 611 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875005 + ... + 876035.

Almost surely, 2^902661120 is an apocalyptic number.

902661120 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 902661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647753120).

902661120 is an abundant number, since it is smaller than the sum of its proper divisors (2392845120).

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

902661120 is a wasteful number, since it uses less digits than its factorization.

902661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 902661120 is about 30044.3192633816. The cubic root of 902661120 is about 966.4400345972.

The spelling of 902661120 in words is "nine hundred two million, six hundred sixty-one thousand, one hundred twenty".