1601586400 has 72 divisors (see below), whose sum is σ = 3950372160. Its totient is φ = 633999360.

The previous prime is 1601586353. The next prime is 1601586419. The reversal of 1601586400 is 46851061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67281 + ... + 87919.

It is an arithmetic number, because the mean of its divisors is an integer number (54866280).

Almost surely, 2^1601586400 is an apocalyptic number.

1601586400 is a gapful number since it is divisible by the number (10) 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 1601586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975186080).

1601586400 is an abundant number, since it is smaller than the sum of its proper divisors (2348785760).

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

1601586400 is a wasteful number, since it uses less digits than its factorization.

1601586400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1601586400 is about 40019.8250870740. The cubic root of 1601586400 is about 1169.9935227440.

The spelling of 1601586400 in words is "one billion, six hundred one million, five hundred eighty-six thousand, four hundred".