42066756 has 24 divisors (see below), whose sum is σ = 109062240. Its totient is φ = 14022216.

The previous prime is 42066751. The next prime is 42066763. The reversal of 42066756 is 65766024.

It is a super-2 number, since 2×42066756² = 3539223920727072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42066756.

It is not an unprimeable number, because it can be changed into a prime (42066751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194646 + ... + 194861.

It is an arithmetic number, because the mean of its divisors is an integer number (4544260).

Almost surely, 2^42066756 is an apocalyptic number.

It is an amenable number.

42066756 is an abundant number, since it is smaller than the sum of its proper divisors (66995484).

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

42066756 is a wasteful number, since it uses less digits than its factorization.

42066756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389520 (or 389512 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 42066756 is about 6485.8889907244. Note that the first 3 decimals coincide. The cubic root of 42066756 is about 347.7867302054.

It can be divided in two parts, 420 and 66756, that added together give a palindrome (67176).

The spelling of 42066756 in words is "forty-two million, sixty-six thousand, seven hundred fifty-six".