332106720 has 192 divisors, whose sum is σ = 1178634240. Its totient is φ = 77875200.

The previous prime is 332106667. The next prime is 332106727. The reversal of 332106720 is 27601233.

It is a super-2 number, since 2×332106720² = 220589746938316800, 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 not an unprimeable number, because it can be changed into a prime (332106727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162666 + ... + 164694.

It is an arithmetic number, because the mean of its divisors is an integer number (6138720).

Almost surely, 2^332106720 is an apocalyptic number.

332106720 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 332106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589317120).

332106720 is an abundant number, since it is smaller than the sum of its proper divisors (846527520).

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

332106720 is a wasteful number, since it uses less digits than its factorization.

332106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 332106720 is about 18223.7954334436. The cubic root of 332106720 is about 692.5097428111.

Adding to 332106720 its reverse (27601233), we get a palindrome (359707953).

The spelling of 332106720 in words is "three hundred thirty-two million, one hundred six thousand, seven hundred twenty".