864761832 has 240 divisors, whose sum is σ = 2737419300. Its totient is φ = 254707200.

The previous prime is 864761827. The next prime is 864761861. The reversal of 864761832 is 238167468.

It can be written as a sum of positive squares in 2 ways, for example, as 632321316 + 232440516 = 25146^2 + 15246^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3214594 + ... + 3214862.

Almost surely, 2^864761832 is an apocalyptic number.

864761832 is a gapful number since it is divisible by the number (82) 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 864761832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368709650).

864761832 is an abundant number, since it is smaller than the sum of its proper divisors (1872657468).

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

864761832 is a wasteful number, since it uses less digits than its factorization.

864761832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 326 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 864761832 is about 29406.8330834859. The cubic root of 864761832 is about 952.7204871182.

The spelling of 864761832 in words is "eight hundred sixty-four million, seven hundred sixty-one thousand, eight hundred thirty-two".