32894136 has 96 divisors (see below), whose sum is σ = 99655920. Its totient is φ = 9715200.

The previous prime is 32894123. The next prime is 32894137. The reversal of 32894136 is 63149823.

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 32894136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32894137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31966 + ... + 32978.

Almost surely, 2^32894136 is an apocalyptic number.

32894136 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 32894136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827960).

32894136 is an abundant number, since it is smaller than the sum of its proper divisors (66761784).

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

32894136 is a wasteful number, since it uses less digits than its factorization.

32894136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1070 counting only the distinct ones).

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

The square root of 32894136 is about 5735.3409663245. The cubic root of 32894136 is about 320.4100732337.

The spelling of 32894136 in words is "thirty-two million, eight hundred ninety-four thousand, one hundred thirty-six".