861432960 has 256 divisors, whose sum is σ = 2911749120. Its totient is φ = 216268800.

The previous prime is 861432953. The next prime is 861432977. The reversal of 861432960 is 69234168.

It is a super-4 number, since 4×861432960⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440144 + ... + 2440496.

It is an arithmetic number, because the mean of its divisors is an integer number (11374020).

Almost surely, 2^861432960 is an apocalyptic number.

861432960 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 861432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455874560).

861432960 is an abundant number, since it is smaller than the sum of its proper divisors (2050316160).

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

861432960 is a wasteful number, since it uses less digits than its factorization.

861432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 861432960 is about 29350.1781936669. The cubic root of 861432960 is about 951.4964264696.

The spelling of 861432960 in words is "eight hundred sixty-one million, four hundred thirty-two thousand, nine hundred sixty".