332635680 has 192 divisors, whose sum is σ = 1253992320. Its totient is φ = 81865728.

The previous prime is 332635643. The next prime is 332635703. The reversal of 332635680 is 86536233.

It is a happy number.

332635680 is a `hidden beast` number, since 3 + 32 + 63 + 568 + 0 = 666.

332635680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×332635680² = 221292991218124800, which contains 22 as substring.

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

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, 53199 + ... + 59121.

It is an arithmetic number, because the mean of its divisors is an integer number (6531210).

Almost surely, 2^332635680 is an apocalyptic number.

332635680 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 332635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626996160).

332635680 is an abundant number, since it is smaller than the sum of its proper divisors (921356640).

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

332635680 is a wasteful number, since it uses less digits than its factorization.

332635680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 332635680 is about 18238.3025525952. The cubic root of 332635680 is about 692.8772106805.

The spelling of 332635680 in words is "three hundred thirty-two million, six hundred thirty-five thousand, six hundred eighty".