66834540 has 36 divisors (see below), whose sum is σ = 202731984. Its totient is φ = 17822496.

The previous prime is 66834539. The next prime is 66834541. The reversal of 66834540 is 4543866.

It is an interprime number because it is at equal distance from previous prime (66834539) and next prime (66834541).

It is a tau number, because it is divible by the number of its divisors (36).

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 = 66834495 and 66834504.

It is not an unprimeable number, because it can be changed into a prime (66834541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185472 + ... + 185831.

It is an arithmetic number, because the mean of its divisors is an integer number (5631444).

Almost surely, 2^66834540 is an apocalyptic number.

66834540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66834540 is an abundant number, since it is smaller than the sum of its proper divisors (135897444).

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

66834540 is a wasteful number, since it uses less digits than its factorization.

66834540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371318 (or 371313 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 66834540 is about 8175.2394460346. The cubic root of 66834540 is about 405.8201942694.

The spelling of 66834540 in words is "sixty-six million, eight hundred thirty-four thousand, five hundred forty".