4620864 has 56 divisors (see below), whose sum is σ = 12545568. Its totient is φ = 1500160.

The previous prime is 4620853. The next prime is 4620871. The reversal of 4620864 is 4680264.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7579 + ... + 8165.

It is an arithmetic number, because the mean of its divisors is an integer number (224028).

Almost surely, 2^4620864 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 4620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272784).

4620864 is an abundant number, since it is smaller than the sum of its proper divisors (7924704).

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

4620864 is a wasteful number, since it uses less digits than its factorization.

4620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4620864 is about 2149.6195012141. The cubic root of 4620864 is about 166.5614126547.

It can be divided in two parts, 46 and 20864, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 4620864 in words is "four million, six hundred twenty thousand, eight hundred sixty-four".