332667720 has 288 divisors, whose sum is σ = 1359408960. Its totient is φ = 69062400.

The previous prime is 332667701. The next prime is 332667733. The reversal of 332667720 is 27766233.

It is a super-2 number, since 2×332667720² = 221335623859996800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 304375 + ... + 305465.

It is an arithmetic number, because the mean of its divisors is an integer number (4720170).

Almost surely, 2^332667720 is an apocalyptic number.

332667720 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 332667720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679704480).

332667720 is an abundant number, since it is smaller than the sum of its proper divisors (1026741240).

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

332667720 is a wasteful number, since it uses less digits than its factorization.

332667720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 332667720 is about 18239.1809026612. The cubic root of 332667720 is about 692.8994563128.

The spelling of 332667720 in words is "three hundred thirty-two million, six hundred sixty-seven thousand, seven hundred twenty".