614364820 has 48 divisors (see below), whose sum is σ = 1345107456. Its totient is φ = 235440000.

The previous prime is 614364811. The next prime is 614364823. The reversal of 614364820 is 28463416.

614364820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614364823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57715 + ... + 67525.

It is an arithmetic number, because the mean of its divisors is an integer number (28023072).

Almost surely, 2^614364820 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 614364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672553728).

614364820 is an abundant number, since it is smaller than the sum of its proper divisors (730742636).

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

614364820 is a wasteful number, since it uses less digits than its factorization.

614364820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9950 counting only the distinct ones).

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

The square root of 614364820 is about 24786.3837620577. The cubic root of 614364820 is about 850.1106291994.

The spelling of 614364820 in words is "six hundred fourteen million, three hundred sixty-four thousand, eight hundred twenty".