610113120 has 48 divisors (see below), whose sum is σ = 1921857840. Its totient is φ = 162696704.

The previous prime is 610113083. The next prime is 610113167. The reversal of 610113120 is 21311016.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×610113120² = 744476038392268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 610113120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 635055 + ... + 636014.

It is an arithmetic number, because the mean of its divisors is an integer number (40038705).

Almost surely, 2^610113120 is an apocalyptic number.

610113120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

610113120 is an abundant number, since it is smaller than the sum of its proper divisors (1311744720).

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

610113120 is a wasteful number, since it uses less digits than its factorization.

610113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271087 (or 1271079 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 610113120 is about 24700.4680117604. The cubic root of 610113120 is about 848.1450297812.

Adding to 610113120 its reverse (21311016), we get a palindrome (631424136).

The spelling of 610113120 in words is "six hundred ten million, one hundred thirteen thousand, one hundred twenty".