332661120 has 256 divisors, whose sum is σ = 1219104000. Its totient is φ = 76308480.

The previous prime is 332661113. The next prime is 332661163. The reversal of 332661120 is 21166233.

It is a happy number.

It is a Cunningham number, because it is equal to 18239²-1.

It is a super-2 number, since 2×332661120² = 221326841519308800, which contains 22 as substring.

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

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, 400866 + ... + 401694.

It is an arithmetic number, because the mean of its divisors is an integer number (4762125).

Almost surely, 2^332661120 is an apocalyptic number.

332661120 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 332661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609552000).

332661120 is an abundant number, since it is smaller than the sum of its proper divisors (886442880).

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

332661120 is a wasteful number, since it uses less digits than its factorization.

332661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 332661120 is about 18238.9999725862. Note that the first 4 decimals coincide. The cubic root of 332661120 is about 692.8948739960.

It can be divided in two parts, 3326 and 61120, that added together give a palindrome (64446).

The spelling of 332661120 in words is "three hundred thirty-two million, six hundred sixty-one thousand, one hundred twenty".