40645760 has 64 divisors (see below), whose sum is σ = 99603000. Its totient is φ = 15851520.

The previous prime is 40645747. The next prime is 40645777. The reversal of 40645760 is 6754604.

It can be written as a sum of positive squares in 4 ways, for example, as 18593344 + 22052416 = 4312^2 + 4696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 25466 + ... + 27014.

Almost surely, 2^40645760 is an apocalyptic number.

40645760 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 40645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49801500).

40645760 is an abundant number, since it is smaller than the sum of its proper divisors (58957240).

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

40645760 is a wasteful number, since it uses less digits than its factorization.

40645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 40645760 is about 6375.4027323770. The cubic root of 40645760 is about 343.8257635757.

The spelling of 40645760 in words is "forty million, six hundred forty-five thousand, seven hundred sixty".