869886864 has 400 divisors, whose sum is σ = 3284075520. Its totient is φ = 215550720.

The previous prime is 869886847. The next prime is 869886893. The reversal of 869886864 is 468688968.

It is a super-3 number, since 3×869886864³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2295027 + ... + 2295405.

Almost surely, 2^869886864 is an apocalyptic number.

869886864 is a gapful number since it is divisible by the number (84) 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 869886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642037760).

869886864 is an abundant number, since it is smaller than the sum of its proper divisors (2414188656).

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

869886864 is a wasteful number, since it uses less digits than its factorization.

869886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 425 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The square root of 869886864 is about 29493.8445103381. The cubic root of 869886864 is about 954.5988882296.

The spelling of 869886864 in words is "eight hundred sixty-nine million, eight hundred eighty-six thousand, eight hundred sixty-four".