617287872 has 112 divisors (see below), whose sum is σ = 1732109312. Its totient is φ = 193674240.

The previous prime is 617287843. The next prime is 617287883. The reversal of 617287872 is 278782716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218823 + ... + 221625.

Almost surely, 2^617287872 is an apocalyptic number.

617287872 is a gapful number since it is divisible by the number (62) 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 617287872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866054656).

617287872 is an abundant number, since it is smaller than the sum of its proper divisors (1114821440).

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

617287872 is a wasteful number, since it uses less digits than its factorization.

617287872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2876 counting only the distinct ones).

The product of its digits is 526848, while the sum is 48.

The square root of 617287872 is about 24845.2786661772. The cubic root of 617287872 is about 851.4567278734.

The spelling of 617287872 in words is "six hundred seventeen million, two hundred eighty-seven thousand, eight hundred seventy-two".