32142240 has 288 divisors, whose sum is σ = 126309456. Its totient is φ = 7372800.

The previous prime is 32142239. The next prime is 32142259. The reversal of 32142240 is 4224123.

It can be written as a sum of positive squares in 8 ways, for example, as 21566736 + 10575504 = 4644^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318190 + ... + 318290.

Almost surely, 2^32142240 is an apocalyptic number.

32142240 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 32142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63154728).

32142240 is an abundant number, since it is smaller than the sum of its proper divisors (94167216).

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

32142240 is a wasteful number, since it uses less digits than its factorization.

32142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 32142240 is about 5669.4126679930. The cubic root of 32142240 is about 317.9499149790.

Adding to 32142240 its reverse (4224123), we get a palindrome (36366363).

The spelling of 32142240 in words is "thirty-two million, one hundred forty-two thousand, two hundred forty".