4764864 has 112 divisors (see below), whose sum is σ = 14337792. Its totient is φ = 1385472.

The previous prime is 4764857. The next prime is 4764869. The reversal of 4764864 is 4684674.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764869) 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, 57367 + ... + 57449.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^4764864 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 4764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168896).

4764864 is an abundant number, since it is smaller than the sum of its proper divisors (9572928).

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

4764864 is a wasteful number, since it uses less digits than its factorization.

4764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 4764864 is about 2182.8568436799. The cubic root of 4764864 is about 168.2739295234.

The spelling of 4764864 in words is "four million, seven hundred sixty-four thousand, eight hundred sixty-four".