13601952 has 192 divisors, whose sum is σ = 49109760. Its totient is φ = 3566592.

The previous prime is 13601933. The next prime is 13601981. The reversal of 13601952 is 25910631.

13601952 is a `hidden beast` number, since 1 + 3 + 601 + 9 + 52 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 78538 + ... + 78710.

It is an arithmetic number, because the mean of its divisors is an integer number (255780).

Almost surely, 2^13601952 is an apocalyptic number.

13601952 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 13601952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554880).

13601952 is an abundant number, since it is smaller than the sum of its proper divisors (35507808).

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

13601952 is a wasteful number, since it uses less digits than its factorization.

13601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

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

The square root of 13601952 is about 3688.0824285799. The cubic root of 13601952 is about 238.7080578352.

The spelling of 13601952 in words is "thirteen million, six hundred one thousand, nine hundred fifty-two".