875364 has 48 divisors (see below), whose sum is σ = 2475648. Its totient is φ = 235008.

The previous prime is 875363. The next prime is 875377. The reversal of 875364 is 463578.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 875364.

It is not an unprimeable number, because it can be changed into a prime (875363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1122 + ... + 1734.

It is an arithmetic number, because the mean of its divisors is an integer number (51576).

2⁸⁷⁵³⁶⁴ is an apocalyptic number.

875364 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 875364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237824).

875364 is an abundant number, since it is smaller than the sum of its proper divisors (1600284).

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

875364 is a wasteful number, since it uses less digits than its factorization.

875364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 875364 is about 935.6088926469. The cubic root of 875364 is about 95.6598202894.

The spelling of 875364 in words is "eight hundred seventy-five thousand, three hundred sixty-four".