614040 has 128 divisors (see below), whose sum is σ = 2280960. Its totient is φ = 129024.

The previous prime is 613999. The next prime is 614041. The reversal of 614040 is 40416.

614040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614041) 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, 14259 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

2⁶¹⁴⁰⁴⁰ is an apocalyptic number.

614040 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 614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140480).

614040 is an abundant number, since it is smaller than the sum of its proper divisors (1666920).

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

614040 is a wasteful number, since it uses less digits than its factorization.

614040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 614040 is about 783.6070443787. The cubic root of 614040 is about 84.9960782504.

Adding to 614040 its reverse (40416), we get a palindrome (654456).

The spelling of 614040 in words is "six hundred fourteen thousand, forty".