617988960 has 96 divisors (see below), whose sum is σ = 2162976480. Its totient is φ = 164795904.

The previous prime is 617988893. The next prime is 617988961. The reversal of 617988960 is 69889716.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 617988897 and 617988906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617988961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67207 + ... + 75846.

It is an arithmetic number, because the mean of its divisors is an integer number (22531005).

Almost surely, 2^617988960 is an apocalyptic number.

617988960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

617988960 is an abundant number, since it is smaller than the sum of its proper divisors (1544987520).

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

617988960 is a wasteful number, since it uses less digits than its factorization.

617988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143077 (or 143063 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 617988960 is about 24859.3837413561. The cubic root of 617988960 is about 851.7789547571.

The spelling of 617988960 in words is "six hundred seventeen million, nine hundred eighty-eight thousand, nine hundred sixty".