617364748 has 144 divisors (see below), whose sum is σ = 1486501632. Its totient is φ = 218275200.

The previous prime is 617364719. The next prime is 617364749. The reversal of 617364748 is 847463716.

It is a super-2 number, since 2×617364748² = 762278464146207008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 617364698 and 617364707.

It is not an unprimeable number, because it can be changed into a prime (617364749) 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, 4712643 + ... + 4712773.

It is an arithmetic number, because the mean of its divisors is an integer number (10322928).

Almost surely, 2^617364748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617364748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743250816).

617364748 is an abundant number, since it is smaller than the sum of its proper divisors (869136884).

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

617364748 is a wasteful number, since it uses less digits than its factorization.

617364748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 617364748 is about 24846.8257127545. The cubic root of 617364748 is about 851.4920727389.

The spelling of 617364748 in words is "six hundred seventeen million, three hundred sixty-four thousand, seven hundred forty-eight".