1600896 has 64 divisors (see below), whose sum is σ = 4651200. Its totient is φ = 483840.

The previous prime is 1600891. The next prime is 1600897. The reversal of 1600896 is 6980061.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4035 + ... + 4413.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

2^1600896 is an apocalyptic number.

1600896 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 1600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325600).

1600896 is an abundant number, since it is smaller than the sum of its proper divisors (3050304).

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

1600896 is a wasteful number, since it uses less digits than its factorization.

1600896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1600896 is about 1265.2651895947. The cubic root of 1600896 is about 116.9825381201.

The spelling of 1600896 in words is "one million, six hundred thousand, eight hundred ninety-six".