1648320 has 112 divisors (see below), whose sum is σ = 5596128. Its totient is φ = 409600.

The previous prime is 1648291. The next prime is 1648349. The reversal of 1648320 is 238461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1648291) and next prime (1648349).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16270 + ... + 16370.

2^1648320 is an apocalyptic number.

1648320 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 1648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798064).

1648320 is an abundant number, since it is smaller than the sum of its proper divisors (3947808).

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

1648320 is a wasteful number, since it uses less digits than its factorization.

1648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1648320 is about 1283.8691522114. The cubic root of 1648320 is about 118.1264564082.

The spelling of 1648320 in words is "one million, six hundred forty-eight thousand, three hundred twenty".