42293680 has 80 divisors (see below), whose sum is σ = 115555104. Its totient is φ = 14192640.

The previous prime is 42293663. The next prime is 42293689. The reversal of 42293680 is 8639224.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42293689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9592 + ... + 13288.

Almost surely, 2^42293680 is an apocalyptic number.

42293680 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 42293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57777552).

42293680 is an abundant number, since it is smaller than the sum of its proper divisors (73261424).

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

42293680 is a wasteful number, since it uses less digits than its factorization.

42293680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 42293680 is about 6503.3591320179. The cubic root of 42293680 is about 348.4109734878.

The spelling of 42293680 in words is "forty-two million, two hundred ninety-three thousand, six hundred eighty".