861672960 has 240 divisors, whose sum is σ = 3016213200. Its totient is φ = 227328000.

The previous prime is 861672937. The next prime is 861672961. The reversal of 861672960 is 69276168.

861672960 is a `hidden beast` number, since 8 + 616 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861672961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3432835 + ... + 3433085.

It is an arithmetic number, because the mean of its divisors is an integer number (12567555).

Almost surely, 2^861672960 is an apocalyptic number.

861672960 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 861672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508106600).

861672960 is an abundant number, since it is smaller than the sum of its proper divisors (2154540240).

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

861672960 is a wasteful number, since it uses less digits than its factorization.

861672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 861672960 is about 29354.2664701402. The cubic root of 861672960 is about 951.5847823250.

The spelling of 861672960 in words is "eight hundred sixty-one million, six hundred seventy-two thousand, nine hundred sixty".