32442120 has 320 divisors, whose sum is σ = 125452800. Its totient is φ = 7464960.

The previous prime is 32442119. The next prime is 32442131. The reversal of 32442120 is 2124423.

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

It is a junction number, because it is equal to n+sod(n) for n = 32442093 and 32442102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1046505 + ... + 1046535.

It is an arithmetic number, because the mean of its divisors is an integer number (392040).

Almost surely, 2^32442120 is an apocalyptic number.

32442120 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 32442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726400).

32442120 is an abundant number, since it is smaller than the sum of its proper divisors (93010680).

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

32442120 is a wasteful number, since it uses less digits than its factorization.

32442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

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

The square root of 32442120 is about 5695.7984514904. The cubic root of 32442120 is about 318.9356565489.

Adding to 32442120 its reverse (2124423), we get a palindrome (34566543).

The spelling of 32442120 in words is "thirty-two million, four hundred forty-two thousand, one hundred twenty".