5980128 has 96 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 1551360.

The previous prime is 5980127. The next prime is 5980129. The reversal of 5980128 is 8210895.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5980127) and next prime (5980129).

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5980127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6988 + ... + 7796.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^5980128 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 5980128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

5980128 is an abundant number, since it is smaller than the sum of its proper divisors (13615392).

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

5980128 is a wasteful number, since it uses less digits than its factorization.

5980128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 5980128 is about 2445.4300235337. The cubic root of 5980128 is about 181.5112272878.

The spelling of 5980128 in words is "five million, nine hundred eighty thousand, one hundred twenty-eight".