66185040 has 80 divisors (see below), whose sum is σ = 207361728. Its totient is φ = 17461248.

The previous prime is 66185039. The next prime is 66185057. The reversal of 66185040 is 4058166.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 66184989 and 66185007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21859 + ... + 24701.

Almost surely, 2^66185040 is an apocalyptic number.

66185040 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 66185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680864).

66185040 is an abundant number, since it is smaller than the sum of its proper divisors (141176688).

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

66185040 is a wasteful number, since it uses less digits than its factorization.

66185040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 66185040 is about 8135.4188583010. The cubic root of 66185040 is about 404.5013219083.

The spelling of 66185040 in words is "sixty-six million, one hundred eighty-five thousand, forty".