66983040 has 192 divisors, whose sum is σ = 239873400. Its totient is φ = 17203200.

The previous prime is 66983027. The next prime is 66983047. The reversal of 66983040 is 4038966.

It can be written as a sum of positive squares in 4 ways, for example, as 66194496 + 788544 = 8136^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 66982986 and 66983004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66983047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166840 + ... + 167240.

Almost surely, 2^66983040 is an apocalyptic number.

66983040 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 66983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119936700).

66983040 is an abundant number, since it is smaller than the sum of its proper divisors (172890360).

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

66983040 is a wasteful number, since it uses less digits than its factorization.

66983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66983040 is about 8184.3167094144. The cubic root of 66983040 is about 406.1205365775.

The spelling of 66983040 in words is "sixty-six million, nine hundred eighty-three thousand, forty".