614142320 has 160 divisors (see below), whose sum is σ = 1712033280. Its totient is φ = 202245120.

The previous prime is 614142313. The next prime is 614142337. The reversal of 614142320 is 23241416.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383762 + ... + 385358.

It is an arithmetic number, because the mean of its divisors is an integer number (10700208).

Almost surely, 2^614142320 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 614142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856016640).

614142320 is an abundant number, since it is smaller than the sum of its proper divisors (1097890960).

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

614142320 is a wasteful number, since it uses less digits than its factorization.

614142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 614142320 is about 24781.8950042163. The cubic root of 614142320 is about 850.0079906977.

Adding to 614142320 its reverse (23241416), we get a palindrome (637383736).

The spelling of 614142320 in words is "six hundred fourteen million, one hundred forty-two thousand, three hundred twenty".