66083040 has 120 divisors (see below), whose sum is σ = 233263800. Its totient is φ = 17618688.

The previous prime is 66083033. The next prime is 66083057. The reversal of 66083040 is 4038066.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 66082995 and 66083013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10411 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (1943865).

Almost surely, 2^66083040 is an apocalyptic number.

66083040 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 66083040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116631900).

66083040 is an abundant number, since it is smaller than the sum of its proper divisors (167180760).

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

66083040 is a wasteful number, since it uses less digits than its factorization.

66083040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66083040 is about 8129.1475567860. The cubic root of 66083040 is about 404.2934181872.

The spelling of 66083040 in words is "sixty-six million, eighty-three thousand, forty".