42826960 has 80 divisors (see below), whose sum is σ = 111367872. Its totient is φ = 15180800.

The previous prime is 42826951. The next prime is 42826999. The reversal of 42826960 is 6962824.

42826960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35487 + ... + 36673.

Almost surely, 2^42826960 is an apocalyptic number.

42826960 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 42826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55683936).

42826960 is an abundant number, since it is smaller than the sum of its proper divisors (68540912).

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

42826960 is a wasteful number, since it uses less digits than its factorization.

42826960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 42826960 is about 6544.2310472660. The cubic root of 42826960 is about 349.8692300583.

The spelling of 42826960 in words is "forty-two million, eight hundred twenty-six thousand, nine hundred sixty".