40168560 has 80 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10364160.

The previous prime is 40168559. The next prime is 40168589. The reversal of 40168560 is 6586104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40168560² = 3227026424947200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4741 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^40168560 is an apocalyptic number.

40168560 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 40168560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40168560 is an abundant number, since it is smaller than the sum of its proper divisors (88394640).

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

40168560 is a wasteful number, since it uses less digits than its factorization.

40168560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40168560 is about 6337.8671491283. The cubic root of 40168560 is about 342.4749053665.

The spelling of 40168560 in words is "forty million, one hundred sixty-eight thousand, five hundred sixty".