867152 has 40 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 362880.

The previous prime is 867151. The next prime is 867161. The reversal of 867152 is 251768.

867152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×867152² = 1503905182208, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867152.

It is not an unprimeable number, because it can be changed into a prime (867151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2099 + ... + 2477.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁸⁶⁷¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

867152 is an abundant number, since it is smaller than the sum of its proper divisors (1111888).

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

867152 is a wasteful number, since it uses less digits than its factorization.

867152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 867152 is about 931.2099655824. The cubic root of 867152 is about 95.3597440424.

The spelling of 867152 in words is "eight hundred sixty-seven thousand, one hundred fifty-two".