1615360 has 40 divisors (see below), whose sum is σ = 3879216. Its totient is φ = 645120.

The previous prime is 1615351. The next prime is 1615363. The reversal of 1615360 is 635161.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1615363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2245 + ... + 2875.

2^1615360 is an apocalyptic number.

1615360 is a gapful number since it is divisible by the number (10) 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 1615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939608).

1615360 is an abundant number, since it is smaller than the sum of its proper divisors (2263856).

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

1615360 is an frugal number, since it uses more digits than its factorization.

With its predecessor (1615359) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (638).

1615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1615360 is about 1270.9681349271. The cubic root of 1615360 is about 117.3337924684. Note that the first 3 decimals are identical.

It can be divided in two parts, 16 and 15360, that added together give a square (15376 = 124²).

The spelling of 1615360 in words is "one million, six hundred fifteen thousand, three hundred sixty".