32148240 has 160 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 7956480.

The previous prime is 32148197. The next prime is 32148289. The reversal of 32148240 is 4284123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32148240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215686 + ... + 215834.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^32148240 is an apocalyptic number.

32148240 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 32148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

32148240 is an abundant number, since it is smaller than the sum of its proper divisors (74987760).

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

32148240 is a wasteful number, since it uses less digits than its factorization.

32148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 32148240 is about 5669.9417986431. The cubic root of 32148240 is about 317.9696976782.

The spelling of 32148240 in words is "thirty-two million, one hundred forty-eight thousand, two hundred forty".