42966768 has 80 divisors (see below), whose sum is σ = 122832416. Its totient is φ = 12856320.

The previous prime is 42966751. The next prime is 42966773. The reversal of 42966768 is 86766924.

It is a super-2 number, since 2×42966768² = 3692286304731648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 22158 + ... + 24018.

Almost surely, 2^42966768 is an apocalyptic number.

42966768 is a gapful number since it is divisible by the number (48) 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 42966768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61416208).

42966768 is an abundant number, since it is smaller than the sum of its proper divisors (79865648).

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

42966768 is a wasteful number, since it uses less digits than its factorization.

42966768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 42966768 is about 6554.9041182919. The cubic root of 42966768 is about 350.2495308993.

It can be divided in two parts, 42966 and 768, that added together give a palindrome (43734).

The spelling of 42966768 in words is "forty-two million, nine hundred sixty-six thousand, seven hundred sixty-eight".