40746160 has 160 divisors (see below), whose sum is σ = 121242240. Its totient is φ = 12386304.

The previous prime is 40746157. The next prime is 40746187. The reversal of 40746160 is 6164704.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 211024 + ... + 211216.

It is an arithmetic number, because the mean of its divisors is an integer number (757764).

Almost surely, 2^40746160 is an apocalyptic number.

40746160 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 40746160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60621120).

40746160 is an abundant number, since it is smaller than the sum of its proper divisors (80496080).

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

40746160 is a wasteful number, since it uses less digits than its factorization.

40746160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40746160 is about 6383.2718883031. The cubic root of 40746160 is about 344.1086280339.

The spelling of 40746160 in words is "forty million, seven hundred forty-six thousand, one hundred sixty".