42640900 has 27 divisors (see below), whose sum is σ = 92672671. Its totient is φ = 17030240.

The previous prime is 42640859. The next prime is 42640901. The reversal of 42640900 is 904624.

The square root of 42640900 is 6530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7214596 + 35426304 = 2686^2 + 5952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42640901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64974 + ... + 65626.

Almost surely, 2^42640900 is an apocalyptic number.

42640900 is the 6530-th square number.

It is an amenable number.

42640900 is an abundant number, since it is smaller than the sum of its proper divisors (50031771).

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

42640900 is an equidigital number, since it uses as much as digits as its factorization.

42640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 42640900 is about 349.3618303029.

Multiplying 42640900 by its sum of digits (25), we get a square (1066022500 = 32650²).

42640900 divided by its sum of digits (25) gives a square (1705636 = 1306²).

The spelling of 42640900 in words is "forty-two million, six hundred forty thousand, nine hundred".