32120640 has 168 divisors, whose sum is σ = 116494560. Its totient is φ = 8100864.

The previous prime is 32120623. The next prime is 32120663. The reversal of 32120640 is 4602123.

It is a happy number.

32120640 is a `hidden beast` number, since 3 + 2 + 1 + 20 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 54427 + ... + 55013.

It is an arithmetic number, because the mean of its divisors is an integer number (693420).

Almost surely, 2^32120640 is an apocalyptic number.

32120640 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 32120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

32120640 is an abundant number, since it is smaller than the sum of its proper divisors (84373920).

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

32120640 is a wasteful number, since it uses less digits than its factorization.

32120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 32120640 is about 5667.5073886145. The cubic root of 32120640 is about 317.8786768705.

Adding to 32120640 its reverse (4602123), we get a palindrome (36722763).

The spelling of 32120640 in words is "thirty-two million, one hundred twenty thousand, six hundred forty".