860629968 has 160 divisors (see below), whose sum is σ = 2740003200. Its totient is φ = 256435200.

The previous prime is 860629961. The next prime is 860629999. The reversal of 860629968 is 869926068.

860629968 is a `hidden beast` number, since 8 + 6 + 0 + 629 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (860629961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288388 + ... + 291356.

It is an arithmetic number, because the mean of its divisors is an integer number (17125020).

Almost surely, 2^860629968 is an apocalyptic number.

860629968 is a gapful number since it is divisible by the number (88) 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 860629968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370001600).

860629968 is an abundant number, since it is smaller than the sum of its proper divisors (1879373232).

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

860629968 is a wasteful number, since it uses less digits than its factorization.

860629968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 860629968 is about 29336.4954962245. The cubic root of 860629968 is about 951.2006860849.

The spelling of 860629968 in words is "eight hundred sixty million, six hundred twenty-nine thousand, nine hundred sixty-eight".