32975040 has 168 divisors, whose sum is σ = 121962672. Its totient is φ = 7526400.

The previous prime is 32975039. The next prime is 32975057. The reversal of 32975040 is 4057923.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32974989 and 32975007.

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, 46690 + ... + 47390.

Almost surely, 2^32975040 is an apocalyptic number.

32975040 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 32975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60981336).

32975040 is an abundant number, since it is smaller than the sum of its proper divisors (88987632).

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

32975040 is a wasteful number, since it uses less digits than its factorization.

32975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 32975040 is about 5742.3897464383. The cubic root of 32975040 is about 320.6725438580.

The spelling of 32975040 in words is "thirty-two million, nine hundred seventy-five thousand, forty".