614000640 has 384 divisors, whose sum is σ = 2264371200. Its totient is φ = 140574720.

The previous prime is 614000623. The next prime is 614000641. The reversal of 614000640 is 46000416.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614000641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7772121 + ... + 7772199.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^614000640 is an apocalyptic number.

614000640 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 614000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

614000640 is an abundant number, since it is smaller than the sum of its proper divisors (1650370560).

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

614000640 is a wasteful number, since it uses less digits than its factorization.

614000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 614000640 is about 24779.0363008734. The cubic root of 614000640 is about 849.9426212709.

The spelling of 614000640 in words is "six hundred fourteen million, six hundred forty", and thus it is an aban number.