40364688 has 80 divisors (see below), whose sum is σ = 128352896. Its totient is φ = 10644480.

The previous prime is 40364671. The next prime is 40364689. The reversal of 40364688 is 88646304.

40364688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40364689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253 + ... + 8988.

Almost surely, 2^40364688 is an apocalyptic number.

40364688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40364688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64176448).

40364688 is an abundant number, since it is smaller than the sum of its proper divisors (87988208).

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

40364688 is a wasteful number, since it uses less digits than its factorization.

40364688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 40364688 is about 6353.3210213242. The cubic root of 40364688 is about 343.0313927754.

The spelling of 40364688 in words is "forty million, three hundred sixty-four thousand, six hundred eighty-eight".