66412040 has 64 divisors (see below), whose sum is σ = 160220160. Its totient is φ = 24710400.

The previous prime is 66412033. The next prime is 66412057. The reversal of 66412040 is 4021466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 66411997 and 66412015.

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, 33065 + ... + 35015.

It is an arithmetic number, because the mean of its divisors is an integer number (2503440).

Almost surely, 2^66412040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80110080).

66412040 is an abundant number, since it is smaller than the sum of its proper divisors (93808120).

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

66412040 is a wasteful number, since it uses less digits than its factorization.

66412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 66412040 is about 8149.3582569427. The cubic root of 66412040 is about 404.9632441368.

The spelling of 66412040 in words is "sixty-six million, four hundred twelve thousand, forty".