610212096 has 144 divisors (see below), whose sum is σ = 1943598720. Its totient is φ = 187729920.

The previous prime is 610212089. The next prime is 610212107. The reversal of 610212096 is 690212016.

610212096 is a `hidden beast` number, since 610 + 21 + 20 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86461 + ... + 93251.

Almost surely, 2^610212096 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 610212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971799360).

610212096 is an abundant number, since it is smaller than the sum of its proper divisors (1333386624).

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

610212096 is a wasteful number, since it uses less digits than its factorization.

610212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6809 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 610212096 is about 24702.4714553018. The cubic root of 610212096 is about 848.1908909288.

The spelling of 610212096 in words is "six hundred ten million, two hundred twelve thousand, ninety-six".