5964880 has 20 divisors (see below), whose sum is σ = 13868532. Its totient is φ = 2385920.

The previous prime is 5964877. The next prime is 5964883. The reversal of 5964880 is 884695.

It is an interprime number because it is at equal distance from previous prime (5964877) and next prime (5964883).

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 3182656 = 1668^2 + 1784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5964883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37201 + ... + 37360.

Almost surely, 2^5964880 is an apocalyptic number.

It is an amenable number.

5964880 is an abundant number, since it is smaller than the sum of its proper divisors (7903652).

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

5964880 is a wasteful number, since it uses less digits than its factorization.

5964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74574 (or 74568 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 5964880 is about 2442.3103815854. The cubic root of 5964880 is about 181.3568248593.

It can be divided in two parts, 596 and 4880, that added together give a square (5476 = 74²).

The spelling of 5964880 in words is "five million, nine hundred sixty-four thousand, eight hundred eighty".