42766940 has 36 divisors (see below), whose sum is σ = 92313144. Its totient is φ = 16634016.

The previous prime is 42766819. The next prime is 42766961. The reversal of 42766940 is 4966724.

It is a super-2 number, since 2×42766940² = 3658022313927200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42766894 and 42766903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191669 + ... + 191891.

It is an arithmetic number, because the mean of its divisors is an integer number (2564254).

Almost surely, 2^42766940 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 42766940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46156572).

42766940 is an abundant number, since it is smaller than the sum of its proper divisors (49546204).

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

42766940 is a wasteful number, since it uses less digits than its factorization.

42766940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 42766940 is about 6539.6437211824. The cubic root of 42766940 is about 349.7057118086.

The spelling of 42766940 in words is "forty-two million, seven hundred sixty-six thousand, nine hundred forty".