861456960 has 672 divisors, whose sum is σ = 3860962560. Its totient is φ = 171196416.

The previous prime is 861456943. The next prime is 861456971. The reversal of 861456960 is 69654168.

861456960 = T₁ + T₂ + ... + T₁₇₂₈.

861456960 is a `hidden beast` number, since 86 + 1 + 4 + 569 + 6 + 0 = 666.

861456960 is a nontrivial binomial coefficient, being equal to C(1730, 3).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is the 1728-th tetrahedral number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979434 + ... + 4979606.

It is an arithmetic number, because the mean of its divisors is an integer number (5745480).

Almost surely, 2^861456960 is an apocalyptic number.

861456960 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 861456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930481280).

861456960 is an abundant number, since it is smaller than the sum of its proper divisors (2999505600).

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

861456960 is a wasteful number, since it uses less digits than its factorization.

861456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 861456960 is about 29350.5870469400. The cubic root of 861456960 is about 951.5052627935.

The spelling of 861456960 in words is "eight hundred sixty-one million, four hundred fifty-six thousand, nine hundred sixty".