1963152 has 30 divisors (see below), whose sum is σ = 5494502. Its totient is φ = 654336.

The previous prime is 1963139. The next prime is 1963153. The reversal of 1963152 is 2513691.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 156816 = 1344^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (1963153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6673 + ... + 6960.

2^1963152 is an apocalyptic number.

1963152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1963152 is an abundant number, since it is smaller than the sum of its proper divisors (3531350).

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

1963152 is a wasteful number, since it uses less digits than its factorization.

1963152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13647 (or 13638 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1963152 is about 1401.1252620662. The cubic root of 1963152 is about 125.2135443162.

It can be divided in two parts, 19631 and 52, that added together give a 9-th power (19683 = 3⁹).

The spelling of 1963152 in words is "one million, nine hundred sixty-three thousand, one hundred fifty-two".