40967136 has 108 divisors (see below), whose sum is σ = 135567432. Its totient is φ = 11700864.

The previous prime is 40967131. The next prime is 40967137. The reversal of 40967136 is 63176904.

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 40967136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40967131) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12661 + ... + 15563.

It is an arithmetic number, because the mean of its divisors is an integer number (1255254).

Almost surely, 2^40967136 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 40967136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67783716).

40967136 is an abundant number, since it is smaller than the sum of its proper divisors (94600296).

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

40967136 is a wasteful number, since it uses less digits than its factorization.

40967136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40967136 is about 6400.5574757204. The cubic root of 40967136 is about 344.7295675317.

The spelling of 40967136 in words is "forty million, nine hundred sixty-seven thousand, one hundred thirty-six".