322665840 has 240 divisors, whose sum is σ = 1256818368. Its totient is φ = 72658944.

The previous prime is 322665839. The next prime is 322665841. The reversal of 322665840 is 48566223.

It is an interprime number because it is at equal distance from previous prime (322665839) and next prime (322665841).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×322665840² = 208226488605811200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 322665795 and 322665804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322665841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367482 + ... + 368358.

Almost surely, 2^322665840 is an apocalyptic number.

322665840 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 322665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628409184).

322665840 is an abundant number, since it is smaller than the sum of its proper divisors (934152528).

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

322665840 is a wasteful number, since it uses less digits than its factorization.

322665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 322665840 is about 17962.9017700370. The cubic root of 322665840 is about 685.8845127975.

The spelling of 322665840 in words is "three hundred twenty-two million, six hundred sixty-five thousand, eight hundred forty".