864820992 has 216 divisors, whose sum is σ = 2725355136. Its totient is φ = 243403776.

The previous prime is 864820987. The next prime is 864821003. The reversal of 864820992 is 299028468.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12907743 + ... + 12907809.

Almost surely, 2^864820992 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 864820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362677568).

864820992 is an abundant number, since it is smaller than the sum of its proper divisors (1860534144).

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

864820992 is an frugal number, since it uses more digits than its factorization.

864820992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 864820992 is about 29407.8389549453. The cubic root of 864820992 is about 952.7422124290.

The spelling of 864820992 in words is "eight hundred sixty-four million, eight hundred twenty thousand, nine hundred ninety-two".