40643760 has 160 divisors (see below), whose sum is σ = 135705600. Its totient is φ = 10036224.

The previous prime is 40643749. The next prime is 40643777. The reversal of 40643760 is 6734604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204141 + ... + 204339.

It is an arithmetic number, because the mean of its divisors is an integer number (848160).

Almost surely, 2^40643760 is an apocalyptic number.

40643760 is a gapful number since it is divisible by the number (40) 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 40643760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67852800).

40643760 is an abundant number, since it is smaller than the sum of its proper divisors (95061840).

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

40643760 is a wasteful number, since it uses less digits than its factorization.

40643760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 40643760 is about 6375.2458776113. The cubic root of 40643760 is about 343.8201240961.

The spelling of 40643760 in words is "forty million, six hundred forty-three thousand, seven hundred sixty".