610996320 has 288 divisors, whose sum is σ = 2409432480. Its totient is φ = 139345920.

The previous prime is 610996301. The next prime is 610996361. The reversal of 610996320 is 23699016.

610996320 is a `hidden beast` number, since 6 + 10 + 9 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268146 + ... + 270414.

It is an arithmetic number, because the mean of its divisors is an integer number (8366085).

Almost surely, 2^610996320 is an apocalyptic number.

610996320 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 610996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204716240).

610996320 is an abundant number, since it is smaller than the sum of its proper divisors (1798436160).

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

610996320 is a wasteful number, since it uses less digits than its factorization.

610996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 610996320 is about 24718.3397500722. The cubic root of 610996320 is about 848.5540908221.

The spelling of 610996320 in words is "six hundred ten million, nine hundred ninety-six thousand, three hundred twenty".