902124864 has 336 divisors, whose sum is σ = 2929006080. Its totient is φ = 274337280.

The previous prime is 902124863. The next prime is 902124877. The reversal of 902124864 is 468421209.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902124863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12705949 + ... + 12706019.

It is an arithmetic number, because the mean of its divisors is an integer number (8717280).

Almost surely, 2^902124864 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 902124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464503040).

902124864 is an abundant number, since it is smaller than the sum of its proper divisors (2026881216).

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

902124864 is a wasteful number, since it uses less digits than its factorization.

902124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 902124864 is about 30035.3935216438. The cubic root of 902124864 is about 966.2486146873.

The spelling of 902124864 in words is "nine hundred two million, one hundred twenty-four thousand, eight hundred sixty-four".