40766024 has 32 divisors (see below), whose sum is σ = 83152440. Its totient is φ = 18624000.

The previous prime is 40765987. The next prime is 40766027. The reversal of 40766024 is 42066704.

It can be written as a sum of positive squares in 4 ways, for example, as 38663524 + 2102500 = 6218^2 + 1450^2 .

It is a super-3 number, since 3×40766024³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40766027) 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, 8564 + ... + 12444.

Almost surely, 2^40766024 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 40766024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41576220).

40766024 is an abundant number, since it is smaller than the sum of its proper divisors (42386416).

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

40766024 is a wasteful number, since it uses less digits than its factorization.

40766024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 40766024 is about 6384.8276405867. The cubic root of 40766024 is about 344.1645372969.

The spelling of 40766024 in words is "forty million, seven hundred sixty-six thousand, twenty-four".