1959552 has 128 divisors (see below), whose sum is σ = 6691200. Its totient is φ = 559872.

The previous prime is 1959523. The next prime is 1959583. The reversal of 1959552 is 2559591.

1959552 is a `hidden beast` number, since 19 + 595 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an ABA number since it can be written as A⋅B^A, here for A=7, B=6.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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, 279933 + ... + 279939.

It is an arithmetic number, because the mean of its divisors is an integer number (52275).

2^1959552 is an apocalyptic number.

1959552 is a gapful number since it is divisible by the number (12) 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 1959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345600).

1959552 is an abundant number, since it is smaller than the sum of its proper divisors (4731648).

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

1959552 is an frugal number, since it uses more digits than its factorization.

1959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 12 counting only the distinct ones).

The product of its digits is 20250, while the sum is 36.

The square root of 1959552 is about 1399.8399908561. The cubic root of 1959552 is about 125.1369592159.

The spelling of 1959552 in words is "one million, nine hundred fifty-nine thousand, five hundred fifty-two".