1615648 has 24 divisors (see below), whose sum is σ = 3292380. Its totient is φ = 779520.

The previous prime is 1615643. The next prime is 1615651. The reversal of 1615648 is 8465161.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 204304 = 1188^2 + 452^2 .

It is a super-3 number, since 3×1615648³ = 12652067397320933376, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1615643) 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, 58 + ... + 1798.

2^1615648 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 1615648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646190).

1615648 is an abundant number, since it is smaller than the sum of its proper divisors (1676732).

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

1615648 is a wasteful number, since it uses less digits than its factorization.

1615648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 1615648 is about 1271.0814293349. The cubic root of 1615648 is about 117.3407651399.

The spelling of 1615648 in words is "one million, six hundred fifteen thousand, six hundred forty-eight".