40185936 has 160 divisors (see below), whose sum is σ = 134158080. Its totient is φ = 11280384.

The previous prime is 40185923. The next prime is 40185941. The reversal of 40185936 is 63958104.

It is a super-2 number, since 2×40185936² = 3229818904392192, 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 40185936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293260 + ... + 293396.

It is an arithmetic number, because the mean of its divisors is an integer number (838488).

Almost surely, 2^40185936 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 40185936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67079040).

40185936 is an abundant number, since it is smaller than the sum of its proper divisors (93972144).

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

40185936 is a wasteful number, since it uses less digits than its factorization.

40185936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 40185936 is about 6339.2378090745. The cubic root of 40185936 is about 342.5242805171.

The spelling of 40185936 in words is "forty million, one hundred eighty-five thousand, nine hundred thirty-six".