13690032 has 80 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 4064256.

The previous prime is 13690031. The next prime is 13690087. The reversal of 13690032 is 23009631.

It is a super-2 number, since 2×13690032² = 374833952322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13689984 and 13690011.

It is not an unprimeable number, because it can be changed into a prime (13690031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15063 + ... + 15945.

It is an arithmetic number, because the mean of its divisors is an integer number (493272).

Almost surely, 2^13690032 is an apocalyptic number.

13690032 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 13690032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

13690032 is an abundant number, since it is smaller than the sum of its proper divisors (25771728).

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

13690032 is a wasteful number, since it uses less digits than its factorization.

13690032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13690032 is about 3700.0043243218. The cubic root of 13690032 is about 239.2222042527. Note that the first 4 decimals are identical.

Adding to 13690032 its reverse (23009631), we get a palindrome (36699663).

The spelling of 13690032 in words is "thirteen million, six hundred ninety thousand, thirty-two".