5901000 has 128 divisors (see below), whose sum is σ = 21116160. Its totient is φ = 1344000.

The previous prime is 5900987. The next prime is 5901031. The reversal of 5901000 is 1095.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20860 + ... + 21140.

It is an arithmetic number, because the mean of its divisors is an integer number (164970).

Almost surely, 2^5901000 is an apocalyptic number.

5901000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558080).

5901000 is an abundant number, since it is smaller than the sum of its proper divisors (15215160).

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

5901000 is a wasteful number, since it uses less digits than its factorization.

5901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 5901000 is about 2429.1973983190. The cubic root of 5901000 is about 180.7070952191.

Adding to 5901000 its reverse (1095), we get a palindrome (5902095).

The spelling of 5901000 in words is "five million, nine hundred one thousand".