862411968 has 224 divisors, whose sum is σ = 2816352000. Its totient is φ = 256573440.

The previous prime is 862411951. The next prime is 862411997. The reversal of 862411968 is 869114268.

862411968 is a `hidden beast` number, since 8 + 624 + 1 + 19 + 6 + 8 = 666.

862411968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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, 1121088 + ... + 1121856.

It is an arithmetic number, because the mean of its divisors is an integer number (12573000).

Almost surely, 2^862411968 is an apocalyptic number.

862411968 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 862411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408176000).

862411968 is an abundant number, since it is smaller than the sum of its proper divisors (1953940032).

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

862411968 is a wasteful number, since it uses less digits than its factorization.

862411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 844 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 862411968 is about 29366.8515166335. The cubic root of 862411968 is about 951.8567446802.

It can be divided in two parts, 86241 and 1968, that added together give a square (88209 = 297²).

The spelling of 862411968 in words is "eight hundred sixty-two million, four hundred eleven thousand, nine hundred sixty-eight".