864192840 has 128 divisors (see below), whose sum is σ = 2970639360. Its totient is φ = 197017344.

The previous prime is 864192839. The next prime is 864192851. The reversal of 864192840 is 48291468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 864192792 and 864192801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 391179 + ... + 393381.

It is an arithmetic number, because the mean of its divisors is an integer number (23208120).

Almost surely, 2^864192840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864192840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485319680).

864192840 is an abundant number, since it is smaller than the sum of its proper divisors (2106446520).

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

864192840 is a wasteful number, since it uses less digits than its factorization.

864192840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 864192840 is about 29397.1570053976. The cubic root of 864192840 is about 952.5114857289.

The spelling of 864192840 in words is "eight hundred sixty-four million, one hundred ninety-two thousand, eight hundred forty".