864624690 has 72 divisors (see below), whose sum is σ = 2297400300. Its totient is φ = 225609024.

The previous prime is 864624637. The next prime is 864624703. The reversal of 864624690 is 96426468.

It can be written as a sum of positive squares in 2 ways, for example, as 740547369 + 124077321 = 27213^2 + 11139^2 .

It is a super-2 number, since 2×864624690² = 1495151709115192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196636 + ... + 200984.

Almost surely, 2^864624690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864624690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148700150).

864624690 is an abundant number, since it is smaller than the sum of its proper divisors (1432775610).

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

864624690 is a wasteful number, since it uses less digits than its factorization.

864624690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4406 counting only the distinct ones).

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

The square root of 864624690 is about 29404.5011860429. The cubic root of 864624690 is about 952.6701206875.

The spelling of 864624690 in words is "eight hundred sixty-four million, six hundred twenty-four thousand, six hundred ninety".