860952960 has 384 divisors, whose sum is σ = 3444629760. Its totient is φ = 194088960.

The previous prime is 860952943. The next prime is 860952971. The reversal of 860952960 is 69259068.

860952960 is a `hidden beast` number, since 8 + 60 + 9 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5281839 + ... + 5282001.

It is an arithmetic number, because the mean of its divisors is an integer number (8970390).

Almost surely, 2^860952960 is an apocalyptic number.

860952960 is a gapful number since it is divisible by the number (80) 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 860952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722314880).

860952960 is an abundant number, since it is smaller than the sum of its proper divisors (2583676800).

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

860952960 is a wasteful number, since it uses less digits than its factorization.

860952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 860952960 is about 29341.9999318383. Note that the first 4 decimals coincide. The cubic root of 860952960 is about 951.3196655136.

The spelling of 860952960 in words is "eight hundred sixty million, nine hundred fifty-two thousand, nine hundred sixty".