920102976 has 392 divisors, whose sum is σ = 3101592984. Its totient is φ = 268738560.

The previous prime is 920102969. The next prime is 920102983. The reversal of 920102976 is 679201029.

It is an interprime number because it is at equal distance from previous prime (920102969) and next prime (920102983).

It can be written as a sum of positive squares in 4 ways, for example, as 18662400 + 901440576 = 4320^2 + 30024^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 920102976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22441516 + ... + 22441556.

It is an arithmetic number, because the mean of its divisors is an integer number (7912227).

Almost surely, 2^920102976 is an apocalyptic number.

920102976 is a gapful number since it is divisible by the number (96) 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 920102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550796492).

920102976 is an abundant number, since it is smaller than the sum of its proper divisors (2181490008).

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

920102976 is a wasteful number, since it uses less digits than its factorization.

920102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 920102976 is about 30333.1992377988. The cubic root of 920102976 is about 972.6251122951.

The spelling of 920102976 in words is "nine hundred twenty million, one hundred two thousand, nine hundred seventy-six".