42793360 has 40 divisors (see below), whose sum is σ = 99870840. Its totient is φ = 17052672.

The previous prime is 42793343. The next prime is 42793367. The reversal of 42793360 is 6339724.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 41113744 = 1296^2 + 6412^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42793367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24186 + ... + 25894.

It is an arithmetic number, because the mean of its divisors is an integer number (2496771).

Almost surely, 2^42793360 is an apocalyptic number.

42793360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42793360 is an abundant number, since it is smaller than the sum of its proper divisors (57077480).

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

42793360 is a wasteful number, since it uses less digits than its factorization.

42793360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 42793360 is about 6541.6633970268. The cubic root of 42793360 is about 349.7777091894. Note that the first 4 decimals are identical.

The spelling of 42793360 in words is "forty-two million, seven hundred ninety-three thousand, three hundred sixty".