66352440 has 256 divisors, whose sum is σ = 255467520. Its totient is φ = 13386240.

The previous prime is 66352423. The next prime is 66352457. The reversal of 66352440 is 4425366.

It is an interprime number because it is at equal distance from previous prime (66352423) and next prime (66352457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66352398 and 66352407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397237 + ... + 397403.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^66352440 is an apocalyptic number.

66352440 is a gapful number since it is divisible by the number (60) 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 66352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

66352440 is an abundant number, since it is smaller than the sum of its proper divisors (189115080).

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

66352440 is a wasteful number, since it uses less digits than its factorization.

66352440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 66352440 is about 8145.7007065077. The cubic root of 66352440 is about 404.8420661445.

The spelling of 66352440 in words is "sixty-six million, three hundred fifty-two thousand, four hundred forty".