4962564 has 18 divisors (see below), whose sum is σ = 12544350. Its totient is φ = 1654176.

The previous prime is 4962557. The next prime is 4962569. The reversal of 4962564 is 4652694.

4962564 is a `hidden beast` number, since 4 + 96 + 2 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4796100 + 166464 = 2190^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 137849 = 4962564 / (4 + 9 + 6 + 2 + 5 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (4962569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68889 + ... + 68960.

Almost surely, 2^4962564 is an apocalyptic number.

It is an amenable number.

4962564 is an abundant number, since it is smaller than the sum of its proper divisors (7581786).

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

4962564 is a wasteful number, since it uses less digits than its factorization.

4962564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137859 (or 137854 counting only the distinct ones).

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

The square root of 4962564 is about 2227.6813057527. The cubic root of 4962564 is about 170.5697607281.

The spelling of 4962564 in words is "four million, nine hundred sixty-two thousand, five hundred sixty-four".