862616664 has 288 divisors, whose sum is σ = 2992822560. Its totient is φ = 218557440.

The previous prime is 862616653. The next prime is 862616683. The reversal of 862616664 is 466616268.

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 71 ways as a sum of consecutive naturals, for example, 6296404 + ... + 6296540.

It is an arithmetic number, because the mean of its divisors is an integer number (10391745).

Almost surely, 2^862616664 is an apocalyptic number.

862616664 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 862616664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496411280).

862616664 is an abundant number, since it is smaller than the sum of its proper divisors (2130205896).

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

862616664 is a wasteful number, since it uses less digits than its factorization.

862616664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 193 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 862616664 is about 29370.3364638541. The cubic root of 862616664 is about 951.9320473824.

The spelling of 862616664 in words is "eight hundred sixty-two million, six hundred sixteen thousand, six hundred sixty-four".