617901120 has 168 divisors, whose sum is σ = 2146986816. Its totient is φ = 163095552.

The previous prime is 617901061. The next prime is 617901121. The reversal of 617901120 is 21109716.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (617901121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295599 + ... + 297681.

Almost surely, 2^617901120 is an apocalyptic number.

617901120 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 617901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073493408).

617901120 is an abundant number, since it is smaller than the sum of its proper divisors (1529085696).

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

617901120 is a wasteful number, since it uses less digits than its factorization.

617901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 617901120 is about 24857.6169412919. The cubic root of 617901120 is about 851.7385959948.

The spelling of 617901120 in words is "six hundred seventeen million, nine hundred one thousand, one hundred twenty".