382068240 has 80 divisors (see below), whose sum is σ = 1189798848. Its totient is φ = 101421568.

The previous prime is 382068233. The next prime is 382068257. The reversal of 382068240 is 42860283.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×382068240² = 291952280033395200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 50974 + ... + 57986.

Almost surely, 2^382068240 is an apocalyptic number.

382068240 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 382068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594899424).

382068240 is an abundant number, since it is smaller than the sum of its proper divisors (807730608).

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

382068240 is a wasteful number, since it uses less digits than its factorization.

382068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 382068240 is about 19546.5659388037. The cubic root of 382068240 is about 725.6273539322.

The spelling of 382068240 in words is "three hundred eighty-two million, sixty-eight thousand, two hundred forty".