1648896 has 72 divisors (see below), whose sum is σ = 4660320. Its totient is φ = 516096.

The previous prime is 1648879. The next prime is 1648909. The reversal of 1648896 is 6988461.

1648896 = T₄₁₉ + T₄₂₀ + ... + T₄₃₆.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14536 + ... + 14648.

2^1648896 is an apocalyptic number.

1648896 is a gapful number since it is divisible by the number (16) 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 1648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330160).

1648896 is an abundant number, since it is smaller than the sum of its proper divisors (3011424).

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

1648896 is a wasteful number, since it uses less digits than its factorization.

1648896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1648896 is about 1284.0934545429. The cubic root of 1648896 is about 118.1402144396.

The spelling of 1648896 in words is "one million, six hundred forty-eight thousand, eight hundred ninety-six".