5965920 has 96 divisors (see below), whose sum is σ = 20895840. Its totient is φ = 1589760.

The previous prime is 5965907. The next prime is 5965933. The reversal of 5965920 is 295695.

It is an interprime number because it is at equal distance from previous prime (5965907) and next prime (5965933).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3630 + ... + 5010.

It is an arithmetic number, because the mean of its divisors is an integer number (217665).

Almost surely, 2^5965920 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 5965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447920).

5965920 is an abundant number, since it is smaller than the sum of its proper divisors (14929920).

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

5965920 is a wasteful number, since it uses less digits than its factorization.

5965920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5965920 is about 2442.5232854571. The cubic root of 5965920 is about 181.3673643358.

The spelling of 5965920 in words is "five million, nine hundred sixty-five thousand, nine hundred twenty".