617379840 has 768 divisors, whose sum is σ = 2830464000. Its totient is φ = 123863040.

The previous prime is 617379821. The next prime is 617379883. The reversal of 617379840 is 48973716.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288946 + ... + 21288974.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^617379840 is an apocalyptic number.

617379840 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 617379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232000).

617379840 is an abundant number, since it is smaller than the sum of its proper divisors (2213084160).

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

617379840 is a wasteful number, since it uses less digits than its factorization.

617379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 617379840 is about 24847.1294116644. The cubic root of 617379840 is about 851.4990111621.

The spelling of 617379840 in words is "six hundred seventeen million, three hundred seventy-nine thousand, eight hundred forty".