42560640 has 160 divisors (see below), whose sum is σ = 152176860. Its totient is φ = 11335680.

The previous prime is 42560519. The next prime is 42560647. The reversal of 42560640 is 4606524.

It is a happy number.

42560640 is a `hidden beast` number, since 42 + 560 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41062464 + 1498176 = 6408^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×42560640² = 3622816154419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42560647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51430 + ... + 52250.

Almost surely, 2^42560640 is an apocalyptic number.

42560640 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 42560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76088430).

42560640 is an abundant number, since it is smaller than the sum of its proper divisors (109616220).

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

42560640 is an equidigital number, since it uses as much as digits as its factorization.

42560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42560640 is about 6523.8516230828. The cubic root of 42560640 is about 349.1424994776.

The spelling of 42560640 in words is "forty-two million, five hundred sixty thousand, six hundred forty".