1620113664 has 144 divisors (see below), whose sum is σ = 4668757632. Its totient is φ = 495796224.

The previous prime is 1620113659. The next prime is 1620113707. The reversal of 1620113664 is 4663110261.

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, 2625484 + ... + 2626100.

It is an arithmetic number, because the mean of its divisors is an integer number (32421928).

Almost surely, 2^1620113664 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 1620113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334378816).

1620113664 is an abundant number, since it is smaller than the sum of its proper divisors (3048643968).

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

1620113664 is a wasteful number, since it uses less digits than its factorization.

1620113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1620113664 is about 40250.6355726217. The cubic root of 1620113664 is about 1174.4877595796.

The spelling of 1620113664 in words is "one billion, six hundred twenty million, one hundred thirteen thousand, six hundred sixty-four".