1617401664 has 84 divisors (see below), whose sum is σ = 4643404480. Its totient is φ = 538272000.

The previous prime is 1617401551. The next prime is 1617401671. The reversal of 1617401664 is 4661047161.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430707 + ... + 434445.

Almost surely, 2^1617401664 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 1617401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321702240).

1617401664 is an abundant number, since it is smaller than the sum of its proper divisors (3026002816).

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

1617401664 is a wasteful number, since it uses less digits than its factorization.

1617401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1617401664 is about 40216.9325533413. The cubic root of 1617401664 is about 1173.8320463765.

The spelling of 1617401664 in words is "one billion, six hundred seventeen million, four hundred one thousand, six hundred sixty-four".