617121120 has 384 divisors, whose sum is σ = 2473390080. Its totient is φ = 125614080.

The previous prime is 617121103. The next prime is 617121133. The reversal of 617121120 is 21121716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2180499 + ... + 2180781.

It is an arithmetic number, because the mean of its divisors is an integer number (6441120).

Almost surely, 2^617121120 is an apocalyptic number.

617121120 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 617121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236695040).

617121120 is an abundant number, since it is smaller than the sum of its proper divisors (1856268960).

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

617121120 is a wasteful number, since it uses less digits than its factorization.

617121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 617121120 is about 24841.9226309076. The cubic root of 617121120 is about 851.3800511151.

Adding to 617121120 its reverse (21121716), we get a palindrome (638242836).

The spelling of 617121120 in words is "six hundred seventeen million, one hundred twenty-one thousand, one hundred twenty".