902140920 has 192 divisors, whose sum is σ = 3048364800. Its totient is φ = 231137280.

The previous prime is 902140909. The next prime is 902140927. The reversal of 902140920 is 29041209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902140927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2555464 + ... + 2555816.

It is an arithmetic number, because the mean of its divisors is an integer number (15876900).

Almost surely, 2^902140920 is an apocalyptic number.

902140920 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 902140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524182400).

902140920 is an abundant number, since it is smaller than the sum of its proper divisors (2146223880).

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

902140920 is a wasteful number, since it uses less digits than its factorization.

902140920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

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

The square root of 902140920 is about 30035.6608051163. The cubic root of 902140920 is about 966.2543470777.

The spelling of 902140920 in words is "nine hundred two million, one hundred forty thousand, nine hundred twenty".