66105408 has 56 divisors (see below), whose sum is σ = 184119520. Its totient is φ = 20874240.

The previous prime is 66105397. The next prime is 66105419. The reversal of 66105408 is 80450166.

It is an interprime number because it is at equal distance from previous prime (66105397) and next prime (66105419).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5413 + ... + 12708.

Almost surely, 2^66105408 is an apocalyptic number.

It is an amenable number.

66105408 is an abundant number, since it is smaller than the sum of its proper divisors (118014112).

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

66105408 is a wasteful number, since it uses less digits than its factorization.

66105408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18155 (or 18145 counting only the distinct ones).

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

The square root of 66105408 is about 8130.5232303954. The cubic root of 66105408 is about 404.3390285538.

It can be divided in two parts, 66105 and 408, that multiplied together give a triangular number (26970840 = T₇₃₄₄).

The spelling of 66105408 in words is "sixty-six million, one hundred five thousand, four hundred eight".