42512880 has 80 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 10738944.

The previous prime is 42512879. The next prime is 42512891. The reversal of 42512880 is 8821524.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^42512880 is an apocalyptic number.

42512880 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 42512880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

42512880 is an abundant number, since it is smaller than the sum of its proper divisors (96228240).

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

42512880 is a wasteful number, since it uses less digits than its factorization.

42512880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358 (or 9352 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 42512880 is about 6520.1901812754. The cubic root of 42512880 is about 349.0118522643.

The spelling of 42512880 in words is "forty-two million, five hundred twelve thousand, eight hundred eighty".