32948040 has 128 divisors (see below), whose sum is σ = 108241920. Its totient is φ = 7987200.

The previous prime is 32948011. The next prime is 32948059. The reversal of 32948040 is 4084923.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 32947989 and 32948007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62980 + ... + 63500.

It is an arithmetic number, because the mean of its divisors is an integer number (845640).

Almost surely, 2^32948040 is an apocalyptic number.

32948040 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 32948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54120960).

32948040 is an abundant number, since it is smaller than the sum of its proper divisors (75293880).

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

32948040 is a wasteful number, since it uses less digits than its factorization.

32948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 32948040 is about 5740.0383273982. The cubic root of 32948040 is about 320.5849976122.

The spelling of 32948040 in words is "thirty-two million, nine hundred forty-eight thousand, forty".