610872192 has 320 divisors, whose sum is σ = 2191939200. Its totient is φ = 164975616.

The previous prime is 610872179. The next prime is 610872193. The reversal of 610872192 is 291278016.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610872193) 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 39 ways as a sum of consecutive naturals, for example, 1378723 + ... + 1379165.

It is an arithmetic number, because the mean of its divisors is an integer number (6849810).

Almost surely, 2^610872192 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 610872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095969600).

610872192 is an abundant number, since it is smaller than the sum of its proper divisors (1581067008).

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

610872192 is a wasteful number, since it uses less digits than its factorization.

610872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 610872192 is about 24715.8287742896. The cubic root of 610872192 is about 848.4966237789.

The spelling of 610872192 in words is "six hundred ten million, eight hundred seventy-two thousand, one hundred ninety-two".