42145680 has 80 divisors (see below), whose sum is σ = 132652224. Its totient is φ = 11066880.

The previous prime is 42145679. The next prime is 42145711. The reversal of 42145680 is 8654124.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14770 + ... + 17390.

Almost surely, 2^42145680 is an apocalyptic number.

42145680 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 42145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66326112).

42145680 is an abundant number, since it is smaller than the sum of its proper divisors (90506544).

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

42145680 is a wasteful number, since it uses less digits than its factorization.

42145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42145680 is about 6491.9704250713. The cubic root of 42145680 is about 348.0040956051.

The spelling of 42145680 in words is "forty-two million, one hundred forty-five thousand, six hundred eighty".