610653120 has 336 divisors, whose sum is σ = 2438790144. Its totient is φ = 126720000.

The previous prime is 610653091. The next prime is 610653149. The reversal of 610653120 is 21356016.

It is an interprime number because it is at equal distance from previous prime (610653091) and next prime (610653149).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 812745 + ... + 813495.

It is an arithmetic number, because the mean of its divisors is an integer number (7258304).

Almost surely, 2^610653120 is an apocalyptic number.

610653120 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 610653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219395072).

610653120 is an abundant number, since it is smaller than the sum of its proper divisors (1828137024).

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

610653120 is a wasteful number, since it uses less digits than its factorization.

610653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 610653120 is about 24711.3965611011. The cubic root of 610653120 is about 848.3951818954.

The spelling of 610653120 in words is "six hundred ten million, six hundred fifty-three thousand, one hundred twenty".