32949120 has 96 divisors (see below), whose sum is σ = 105833160. Its totient is φ = 8719360.

The previous prime is 32949113. The next prime is 32949121. The reversal of 32949120 is 2194923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32949121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251455 + ... + 251585.

Almost surely, 2^32949120 is an apocalyptic number.

32949120 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 32949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52916580).

32949120 is an abundant number, since it is smaller than the sum of its proper divisors (72884040).

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

32949120 is an equidigital number, since it uses as much as digits as its factorization.

32949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 32949120 is about 5740.1324026541. The cubic root of 32949120 is about 320.5885003802.

Multiplying 32949120 by its sum of digits (30), we get a square (988473600 = 31440²).

32949120 divided by its sum of digits (30) gives a square (1098304 = 1048²).

The spelling of 32949120 in words is "thirty-two million, nine hundred forty-nine thousand, one hundred twenty".