610914096 has 160 divisors (see below), whose sum is σ = 1902031040. Its totient is φ = 186624000.

The previous prime is 610914089. The next prime is 610914097. The reversal of 610914096 is 690419016.

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

It is a self number, because there is not a number n which added to its sum of digits gives 610914096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610914097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1016196 + ... + 1016796.

It is an arithmetic number, because the mean of its divisors is an integer number (11887694).

Almost surely, 2^610914096 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 610914096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951015520).

610914096 is an abundant number, since it is smaller than the sum of its proper divisors (1291116944).

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

610914096 is a wasteful number, since it uses less digits than its factorization.

610914096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 610914096 is about 24716.6764756106. The cubic root of 610914096 is about 848.5160247763.

The spelling of 610914096 in words is "six hundred ten million, nine hundred fourteen thousand, ninety-six".