13273632 has 84 divisors (see below), whose sum is σ = 39249630. Its totient is φ = 4416768.

The previous prime is 13273607. The next prime is 13273649. The reversal of 13273632 is 23637231.

13273632 is a `hidden beast` number, since 1 + 3 + 27 + 3 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 571536 = 3564^2 + 756^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13273596 and 13273605.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23044 + ... + 23612.

Almost surely, 2^13273632 is an apocalyptic number.

13273632 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 13273632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19624815).

13273632 is an abundant number, since it is smaller than the sum of its proper divisors (25975998).

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

13273632 is an frugal number, since it uses more digits than its factorization.

13273632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 13273632 is about 3643.2996033815. The cubic root of 13273632 is about 236.7717719578.

The spelling of 13273632 in words is "thirteen million, two hundred seventy-three thousand, six hundred thirty-two".