864890880 has 208 divisors, whose sum is σ = 3164216064. Its totient is φ = 197591040.

The previous prime is 864890869. The next prime is 864890881. The reversal of 864890880 is 88098468.

It is not an unprimeable number, because it can be changed into a prime (864890881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429075 + ... + 431085.

Almost surely, 2^864890880 is an apocalyptic number.

864890880 is a gapful number since it is divisible by the number (80) 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 864890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582108032).

864890880 is an abundant number, since it is smaller than the sum of its proper divisors (2299325184).

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

864890880 is a wasteful number, since it uses less digits than its factorization.

864890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 864890880 is about 29409.0271855429. The cubic root of 864890880 is about 952.7678761039.

The spelling of 864890880 in words is "eight hundred sixty-four million, eight hundred ninety thousand, eight hundred eighty".