66034440 has 160 divisors (see below), whose sum is σ = 225423000. Its totient is φ = 17335296.

The previous prime is 66034439. The next prime is 66034457. The reversal of 66034440 is 4443066.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57426084 + 8608356 = 7578^2 + 2934^2 .

It is a super-2 number, since 2×66034440² = 8721094532227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 288246 + ... + 288474.

Almost surely, 2^66034440 is an apocalyptic number.

66034440 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 66034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112711500).

66034440 is an abundant number, since it is smaller than the sum of its proper divisors (159388560).

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

66034440 is a wasteful number, since it uses less digits than its factorization.

66034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 66034440 is about 8126.1577636667. The cubic root of 66034440 is about 404.1942829230.

The spelling of 66034440 in words is "sixty-six million, thirty-four thousand, four hundred forty".