42157680 has 80 divisors (see below), whose sum is σ = 131375520. Its totient is φ = 11183104.

The previous prime is 42157669. The next prime is 42157681. The reversal of 42157680 is 8675124.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42157681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64234 + ... + 64886.

It is an arithmetic number, because the mean of its divisors is an integer number (1642194).

Almost surely, 2^42157680 is an apocalyptic number.

42157680 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 42157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65687760).

42157680 is an abundant number, since it is smaller than the sum of its proper divisors (89217840).

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

42157680 is a wasteful number, since it uses less digits than its factorization.

42157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 42157680 is about 6492.8945779213. The cubic root of 42157680 is about 348.0371211557.

The spelling of 42157680 in words is "forty-two million, one hundred fifty-seven thousand, six hundred eighty".