32968440 has 96 divisors (see below), whose sum is σ = 113471280. Its totient is φ = 8272896.

The previous prime is 32968427. The next prime is 32968451. The reversal of 32968440 is 4486923.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 32968395 and 32968404.

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, 3427 + ... + 8813.

Almost surely, 2^32968440 is an apocalyptic number.

32968440 is a gapful number since it is divisible by the number (30) 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 32968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56735640).

32968440 is an abundant number, since it is smaller than the sum of its proper divisors (80502840).

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

32968440 is a wasteful number, since it uses less digits than its factorization.

32968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 32968440 is about 5741.8150440431. The cubic root of 32968440 is about 320.6511480789.

The spelling of 32968440 in words is "thirty-two million, nine hundred sixty-eight thousand, four hundred forty".