42551680 has 64 divisors (see below), whose sum is σ = 107736480. Its totient is φ = 16015360.

The previous prime is 42551657. The next prime is 42551681. The reversal of 42551680 is 8615524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42551681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8925 + ... + 12835.

Almost surely, 2^42551680 is an apocalyptic number.

42551680 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 42551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53868240).

42551680 is an abundant number, since it is smaller than the sum of its proper divisors (65184800).

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

42551680 is a wasteful number, since it uses less digits than its factorization.

42551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 42551680 is about 6523.1648760399. The cubic root of 42551680 is about 349.1179968985.

The spelling of 42551680 in words is "forty-two million, five hundred fifty-one thousand, six hundred eighty".