32138496 has 216 divisors, whose sum is σ = 106022280. Its totient is φ = 9289728.

The previous prime is 32138479. The next prime is 32138507. The reversal of 32138496 is 69483123.

32138496 is a `hidden beast` number, since 32 + 138 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5760000 + 26378496 = 2400^2 + 5136^2 .

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 self number, because there is not a number n which added to its sum of digits gives 32138496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868590 + ... + 868626.

Almost surely, 2^32138496 is an apocalyptic number.

32138496 is a gapful number since it is divisible by the number (36) 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 32138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53011140).

32138496 is an abundant number, since it is smaller than the sum of its proper divisors (73883784).

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

32138496 is a wasteful number, since it uses less digits than its factorization.

32138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

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

The square root of 32138496 is about 5669.0824654436. The cubic root of 32138496 is about 317.9375693272.

The spelling of 32138496 in words is "thirty-two million, one hundred thirty-eight thousand, four hundred ninety-six".