4692864 has 96 divisors (see below), whose sum is σ = 13837320. Its totient is φ = 1408000.

The previous prime is 4692847. The next prime is 4692869. The reversal of 4692864 is 4682964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4692869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46414 + ... + 46514.

Almost surely, 2^4692864 is an apocalyptic number.

4692864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918660).

4692864 is an abundant number, since it is smaller than the sum of its proper divisors (9144456).

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

4692864 is a wasteful number, since it uses less digits than its factorization.

4692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 4692864 is about 2166.3019180160. The cubic root of 4692864 is about 167.4220503121.

It can be divided in two parts, 469 and 2864, that added together give a palindrome (3333).

The spelling of 4692864 in words is "four million, six hundred ninety-two thousand, eight hundred sixty-four".