40745680 has 40 divisors (see below), whose sum is σ = 96045192. Its totient is φ = 16072704.

The previous prime is 40745669. The next prime is 40745701. The reversal of 40745680 is 8654704.

It can be written as a sum of positive squares in 4 ways, for example, as 1507984 + 39237696 = 1228^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×40745680³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2352 + ... + 9328.

Almost surely, 2^40745680 is an apocalyptic number.

40745680 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 40745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48022596).

40745680 is an abundant number, since it is smaller than the sum of its proper divisors (55299512).

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

40745680 is a wasteful number, since it uses less digits than its factorization.

40745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 40745680 is about 6383.2342899192. The cubic root of 40745680 is about 344.1072767999.

The spelling of 40745680 in words is "forty million, seven hundred forty-five thousand, six hundred eighty".