1591601472 has 336 divisors, whose sum is σ = 5203740672. Its totient is φ = 462274560.

The previous prime is 1591601437. The next prime is 1591601579. The reversal of 1591601472 is 2741061951.

1591601472 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 601 + 47 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8332897 + ... + 8333087.

Almost surely, 2^1591601472 is an apocalyptic number.

1591601472 is a gapful number since it is divisible by the number (12) 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 1591601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601870336).

1591601472 is an abundant number, since it is smaller than the sum of its proper divisors (3612139200).

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

1591601472 is a wasteful number, since it uses less digits than its factorization.

1591601472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1591601472 is about 39894.8802730375. The cubic root of 1591601472 is about 1167.5570504030.

The spelling of 1591601472 in words is "one billion, five hundred ninety-one million, six hundred one thousand, four hundred seventy-two".