5167864 has 64 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 2156544.

The previous prime is 5167861. The next prime is 5167879. The reversal of 5167864 is 4687615.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5167861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65377 + ... + 65455.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^5167864 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 5167864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

5167864 is an abundant number, since it is smaller than the sum of its proper divisors (6323336).

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

5167864 is a wasteful number, since it uses less digits than its factorization.

5167864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 5167864 is about 2273.2936457924. The cubic root of 5167864 is about 172.8901928277.

Subtracting from 5167864 its reverse (4687615), we obtain a square (480249 = 693²).

The spelling of 5167864 in words is "five million, one hundred sixty-seven thousand, eight hundred sixty-four".