614468320 has 96 divisors (see below), whose sum is σ = 1483816320. Its totient is φ = 240414720.

The previous prime is 614468297. The next prime is 614468347. The reversal of 614468320 is 23864416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2186580 + ... + 2186860.

It is an arithmetic number, because the mean of its divisors is an integer number (15456420).

Almost surely, 2^614468320 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 614468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741908160).

614468320 is an abundant number, since it is smaller than the sum of its proper divisors (869348000).

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

614468320 is a wasteful number, since it uses less digits than its factorization.

614468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 614468320 is about 24788.4715139921. The cubic root of 614468320 is about 850.1583649566.

The spelling of 614468320 in words is "six hundred fourteen million, four hundred sixty-eight thousand, three hundred twenty".