40854672 has 80 divisors (see below), whose sum is σ = 124188480. Its totient is φ = 12814848.

The previous prime is 40854661. The next prime is 40854673. The reversal of 40854672 is 27645804.

40854672 is a `hidden beast` number, since 40 + 8 + 546 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40854673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4563 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (1552356).

Almost surely, 2^40854672 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 40854672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62094240).

40854672 is an abundant number, since it is smaller than the sum of its proper divisors (83333808).

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

40854672 is a wasteful number, since it uses less digits than its factorization.

40854672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40854672 is about 6391.7659531619. The cubic root of 40854672 is about 344.4138250347.

The spelling of 40854672 in words is "forty million, eight hundred fifty-four thousand, six hundred seventy-two".