864092016 has 160 divisors (see below), whose sum is σ = 2587453440. Its totient is φ = 275788800.

The previous prime is 864091999. The next prime is 864092057. The reversal of 864092016 is 610290468.

864092016 is a `hidden beast` number, since 8 + 640 + 9 + 2 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×864092016² = 1493310024229888512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1513011 + ... + 1513581.

It is an arithmetic number, because the mean of its divisors is an integer number (16171584).

Almost surely, 2^864092016 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 864092016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293726720).

864092016 is an abundant number, since it is smaller than the sum of its proper divisors (1723361424).

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

864092016 is a wasteful number, since it uses less digits than its factorization.

864092016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 864092016 is about 29395.4420956719. The cubic root of 864092016 is about 952.4744416231.

The spelling of 864092016 in words is "eight hundred sixty-four million, ninety-two thousand, sixteen".