7891164 has 36 divisors (see below), whose sum is σ = 20140120. Its totient is φ = 2604960.

The previous prime is 7891151. The next prime is 7891171. The reversal of 7891164 is 4611987.

7891164 = T₃₂₇ + T₃₂₈ + ... + T₄₃₄.

7891164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2919 + ... + 4929.

Almost surely, 2^7891164 is an apocalyptic number.

It is an amenable number.

7891164 is an abundant number, since it is smaller than the sum of its proper divisors (12248956).

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

7891164 is a wasteful number, since it uses less digits than its factorization.

7891164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2125 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 7891164 is about 2809.1215708830. The cubic root of 7891164 is about 199.0888890200.

It can be divided in two parts, 789 and 1164, that added together give a triangular number (1953 = T₆₂).

The spelling of 7891164 in words is "seven million, eight hundred ninety-one thousand, one hundred sixty-four".