5120964 has 36 divisors (see below), whose sum is σ = 13169520. Its totient is φ = 1677360.

The previous prime is 5120963. The next prime is 5121007. The reversal of 5120964 is 4690215.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5120963) 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, 919 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (365820).

Almost surely, 2^5120964 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 5120964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584760).

5120964 is an abundant number, since it is smaller than the sum of its proper divisors (8048556).

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

5120964 is a wasteful number, since it uses less digits than its factorization.

5120964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5120964 is about 2262.9547056890. The cubic root of 5120964 is about 172.3655915812.

It can be divided in two parts, 5120 and 964, that added together give a square (6084 = 78²).

The spelling of 5120964 in words is "five million, one hundred twenty thousand, nine hundred sixty-four".