42037680 has 80 divisors (see below), whose sum is σ = 132205824. Its totient is φ = 11047680.

The previous prime is 42037679. The next prime is 42037691. The reversal of 42037680 is 8673024.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15807 + ... + 18273.

Almost surely, 2^42037680 is an apocalyptic number.

42037680 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 42037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66102912).

42037680 is an abundant number, since it is smaller than the sum of its proper divisors (90168144).

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

42037680 is a wasteful number, since it uses less digits than its factorization.

42037680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42037680 is about 6483.6471217980. The cubic root of 42037680 is about 347.7065831674.

The spelling of 42037680 in words is "forty-two million, thirty-seven thousand, six hundred eighty".