617978160 has 240 divisors, whose sum is σ = 2183860224. Its totient is φ = 162383616.

The previous prime is 617978159. The next prime is 617978161. The reversal of 617978160 is 61879716.

It is an interprime number because it is at equal distance from previous prime (617978159) and next prime (617978161).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (617978161) 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 47 ways as a sum of consecutive naturals, for example, 1613329 + ... + 1613711.

Almost surely, 2^617978160 is an apocalyptic number.

617978160 is a gapful number since it is divisible by the number (60) 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 617978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112).

617978160 is an abundant number, since it is smaller than the sum of its proper divisors (1565882064).

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

617978160 is a wasteful number, since it uses less digits than its factorization.

617978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 617978160 is about 24859.1665186104. The cubic root of 617978160 is about 851.7739928204.

The spelling of 617978160 in words is "six hundred seventeen million, nine hundred seventy-eight thousand, one hundred sixty".