1591601120 has 48 divisors (see below), whose sum is σ = 3958068240. Its totient is φ = 603131904.

The previous prime is 1591601083. The next prime is 1591601129. The reversal of 1591601120 is 211061951.

It is a super-3 number, since 3×1591601120³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1591601120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1591601129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258737 + ... + 264816.

It is an arithmetic number, because the mean of its divisors is an integer number (82459755).

Almost surely, 2^1591601120 is an apocalyptic number.

1591601120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1591601120 is an abundant number, since it is smaller than the sum of its proper divisors (2366467120).

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

1591601120 is a wasteful number, since it uses less digits than its factorization.

1591601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523587 (or 523579 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 26.

The square root of 1591601120 is about 39894.8758614437. The cubic root of 1591601120 is about 1167.5569643303.

The spelling of 1591601120 in words is "one billion, five hundred ninety-one million, six hundred one thousand, one hundred twenty".