5901120 has 112 divisors (see below), whose sum is σ = 20848320. Its totient is φ = 1571328.

The previous prime is 5901113. The next prime is 5901131. The reversal of 5901120 is 211095.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5901093 and 5901102.

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, 8299 + ... + 8981.

Almost surely, 2^5901120 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 5901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424160).

5901120 is an abundant number, since it is smaller than the sum of its proper divisors (14947200).

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

5901120 is a wasteful number, since it uses less digits than its factorization.

5901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 5901120 is about 2429.2220977095. Note that the first 3 decimals coincide. The cubic root of 5901120 is about 180.7083201360.

The spelling of 5901120 in words is "five million, nine hundred one thousand, one hundred twenty".