13963152 has 80 divisors (see below), whose sum is σ = 42675840. Its totient is φ = 3849216.

The previous prime is 13963133. The next prime is 13963193. The reversal of 13963152 is 25136931.

It is a super-2 number, since 2×13963152² = 389939227550208, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9028 + ... + 10460.

It is an arithmetic number, because the mean of its divisors is an integer number (533448).

Almost surely, 2^13963152 is an apocalyptic number.

13963152 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 13963152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337920).

13963152 is an abundant number, since it is smaller than the sum of its proper divisors (28712688).

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

13963152 is a wasteful number, since it uses less digits than its factorization.

13963152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 13963152 is about 3736.7301213762. The cubic root of 13963152 is about 240.8025908192.

The spelling of 13963152 in words is "thirteen million, nine hundred sixty-three thousand, one hundred fifty-two".