1617624960 has 256 divisors, whose sum is σ = 6150159360. Its totient is φ = 353599488.

The previous prime is 1617624917. The next prime is 1617624961. The reversal of 1617624960 is 694267161.

It is a super-2 number, since 2×1617624960² = 5233421022430003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617624961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306504 + ... + 311736.

It is an arithmetic number, because the mean of its divisors is an integer number (24024060).

Almost surely, 2^1617624960 is an apocalyptic number.

1617624960 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 1617624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075079680).

1617624960 is an abundant number, since it is smaller than the sum of its proper divisors (4532534400).

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

1617624960 is a wasteful number, since it uses less digits than its factorization.

1617624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1617624960 is about 40219.7086016296. The cubic root of 1617624960 is about 1173.8860630431.

The spelling of 1617624960 in words is "one billion, six hundred seventeen million, six hundred twenty-four thousand, nine hundred sixty".