13698432 has 192 divisors, whose sum is σ = 45826560. Its totient is φ = 3886080.

The previous prime is 13698431. The next prime is 13698457. The reversal of 13698432 is 23489631.

13698432 is a `hidden beast` number, since 136 + 98 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13698431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291433 + ... + 291479.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 2^13698432 is an apocalyptic number.

13698432 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 13698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

13698432 is an abundant number, since it is smaller than the sum of its proper divisors (32128128).

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

13698432 is a wasteful number, since it uses less digits than its factorization.

13698432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 13698432 is about 3701.1392840584. The cubic root of 13698432 is about 239.2711219777.

It can be divided in two parts, 1369 and 8432, that added together give a square (9801 = 99²).

The spelling of 13698432 in words is "thirteen million, six hundred ninety-eight thousand, four hundred thirty-two".