5961564 has 72 divisors (see below), whose sum is σ = 17672928. Its totient is φ = 1658880.

The previous prime is 5961547. The next prime is 5961569. The reversal of 5961564 is 4651695.

5961564 is a `hidden beast` number, since 5 + 96 + 1 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5961569) 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, 10044 + ... + 10620.

Almost surely, 2^5961564 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 5961564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8836464).

5961564 is an abundant number, since it is smaller than the sum of its proper divisors (11711364).

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

5961564 is a wasteful number, since it uses less digits than its factorization.

5961564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5961564 is about 2441.6314218162. The cubic root of 5961564 is about 181.3232119615.

The spelling of 5961564 in words is "five million, nine hundred sixty-one thousand, five hundred sixty-four".