4695264 has 144 divisors (see below), whose sum is σ = 16275168. Its totient is φ = 1253376.

The previous prime is 4695259. The next prime is 4695269. The reversal of 4695264 is 4625964.

It is an interprime number because it is at equal distance from previous prime (4695259) and next prime (4695269).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4695269) 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, 34204 + ... + 34340.

It is an arithmetic number, because the mean of its divisors is an integer number (113022).

Almost surely, 2^4695264 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 4695264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8137584).

4695264 is an abundant number, since it is smaller than the sum of its proper divisors (11579904).

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

4695264 is a wasteful number, since it uses less digits than its factorization.

4695264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4695264 is about 2166.8557866180. The cubic root of 4695264 is about 167.4505861517.

The spelling of 4695264 in words is "four million, six hundred ninety-five thousand, two hundred sixty-four".