40746960 has 120 divisors (see below), whose sum is σ = 144934920. Its totient is φ = 10223616.

The previous prime is 40746949. The next prime is 40746973. The reversal of 40746960 is 6964704.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 34152336 = 2568^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10576 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (1207791).

Almost surely, 2^40746960 is an apocalyptic number.

40746960 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 40746960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72467460).

40746960 is an abundant number, since it is smaller than the sum of its proper divisors (104187960).

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

40746960 is a wasteful number, since it uses less digits than its factorization.

40746960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 40746960 is about 6383.3345517840. The cubic root of 40746960 is about 344.1108800670.

The spelling of 40746960 in words is "forty million, seven hundred forty-six thousand, nine hundred sixty".