42786960 has 80 divisors (see below), whose sum is σ = 140455296. Its totient is φ = 10737664.

The previous prime is 42786959. The next prime is 42786973. The reversal of 42786960 is 6968724.

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

It is a super-3 number, since 3×42786960³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164 + ... + 9323.

Almost surely, 2^42786960 is an apocalyptic number.

42786960 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 42786960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70227648).

42786960 is an abundant number, since it is smaller than the sum of its proper divisors (97668336).

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

42786960 is a wasteful number, since it uses less digits than its factorization.

42786960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 42786960 is about 6541.1742065167. The cubic root of 42786960 is about 349.7602712119.

The spelling of 42786960 in words is "forty-two million, seven hundred eighty-six thousand, nine hundred sixty".