42183680 has 176 divisors, whose sum is σ = 127339776. Its totient is φ = 13025280.

The previous prime is 42183619. The next prime is 42183683. The reversal of 42183680 is 8638124.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42183683) 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, 394187 + ... + 394293.

Almost surely, 2^42183680 is an apocalyptic number.

42183680 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 42183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63669888).

42183680 is an abundant number, since it is smaller than the sum of its proper divisors (85156096).

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

42183680 is a wasteful number, since it uses less digits than its factorization.

42183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 42183680 is about 6494.8964579891. The cubic root of 42183680 is about 348.1086550220.

The spelling of 42183680 in words is "forty-two million, one hundred eighty-three thousand, six hundred eighty".