861255360 has 504 divisors, whose sum is σ = 3658880160. Its totient is φ = 184762368.

The previous prime is 861255341. The next prime is 861255379. The reversal of 861255360 is 63552168.

861255360 is a `hidden beast` number, since 8 + 612 + 5 + 5 + 36 + 0 = 666.

861255360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (861255341) and next prime (861255379).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2398861 + ... + 2399219.

Almost surely, 2^861255360 is an apocalyptic number.

861255360 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 861255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829440080).

861255360 is an abundant number, since it is smaller than the sum of its proper divisors (2797624800).

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

861255360 is a wasteful number, since it uses less digits than its factorization.

861255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 861255360 is about 29347.1525024149. The cubic root of 861255360 is about 951.4310325706.

The spelling of 861255360 in words is "eight hundred sixty-one million, two hundred fifty-five thousand, three hundred sixty".