614610640 has 80 divisors (see below), whose sum is σ = 1638823680. Its totient is φ = 209986560.

The previous prime is 614610629. The next prime is 614610649. The reversal of 614610640 is 46016416.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 614610599 and 614610608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614610649) 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, 172396 + ... + 175924.

It is an arithmetic number, because the mean of its divisors is an integer number (20485296).

Almost surely, 2^614610640 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 614610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819411840).

614610640 is an abundant number, since it is smaller than the sum of its proper divisors (1024213040).

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

614610640 is a wasteful number, since it uses less digits than its factorization.

614610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 614610640 is about 24791.3420370903. The cubic root of 614610640 is about 850.2239963295.

The spelling of 614610640 in words is "six hundred fourteen million, six hundred ten thousand, six hundred forty".