40905864 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 12787200.

The previous prime is 40905827. The next prime is 40905881. The reversal of 40905864 is 46850904.

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

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, 274462 + ... + 274610.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^40905864 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 40905864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

40905864 is an abundant number, since it is smaller than the sum of its proper divisors (80054136).

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

40905864 is a wasteful number, since it uses less digits than its factorization.

40905864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40905864 is about 6395.7692266060. The cubic root of 40905864 is about 344.5576182466.

The spelling of 40905864 in words is "forty million, nine hundred five thousand, eight hundred sixty-four".