852264 has 96 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 228096.

The previous prime is 852263. The next prime is 852287. The reversal of 852264 is 462258.

852264 = T₄₀ + T₄₁ + ... + T₁₇₂.

It is an Ulam number.

Its product of digits (3840) is a multiple of the sum of its prime divisors (120).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852264.

It is not an unprimeable number, because it can be changed into a prime (852263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9532 + ... + 9620.

It is an arithmetic number, because the mean of its divisors is an integer number (29250).

2⁸⁵²²⁶⁴ is an apocalyptic number.

852264 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 852264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404000).

852264 is an abundant number, since it is smaller than the sum of its proper divisors (1955736).

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

852264 is a wasteful number, since it uses less digits than its factorization.

852264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 120 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 852264 is about 923.1814556196. The cubic root of 852264 is about 94.8108517194.

The spelling of 852264 in words is "eight hundred fifty-two thousand, two hundred sixty-four".