32988640 has 24 divisors (see below), whose sum is σ = 77936040. Its totient is φ = 13195392.

The previous prime is 32988623. The next prime is 32988661. The reversal of 32988640 is 4688923.

32988640 = 148² + 149² + ... + 467².

It is a super-3 number, since 3×32988640³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32988593 and 32988602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102930 + ... + 103249.

It is an arithmetic number, because the mean of its divisors is an integer number (3247335).

Almost surely, 2^32988640 is an apocalyptic number.

It is an amenable number.

32988640 is an abundant number, since it is smaller than the sum of its proper divisors (44947400).

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

32988640 is a wasteful number, since it uses less digits than its factorization.

32988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206194 (or 206186 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 32988640 is about 5743.5738003442. The cubic root of 32988640 is about 320.7166231290.

The spelling of 32988640 in words is "thirty-two million, nine hundred eighty-eight thousand, six hundred forty".