614880 has 144 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 138240.

The previous prime is 614863. The next prime is 614881. The reversal of 614880 is 88416.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614881) by changing a digit.

614880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10050 + ... + 10110.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2⁶¹⁴⁸⁸⁰ is an apocalyptic number.

614880 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 614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

614880 is an abundant number, since it is smaller than the sum of its proper divisors (1822464).

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

614880 is a wasteful number, since it uses less digits than its factorization.

614880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 614880 is about 784.1428441298. The cubic root of 614880 is about 85.0348184920.

The spelling of 614880 in words is "six hundred fourteen thousand, eight hundred eighty".