42084680 has 64 divisors (see below), whose sum is σ = 104431680. Its totient is φ = 15136000.

The previous prime is 42084671. The next prime is 42084683. The reversal of 42084680 is 8648024.

It is a super-2 number, since 2×42084680² = 3542240581404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42084683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43967 + ... + 44913.

It is an arithmetic number, because the mean of its divisors is an integer number (1631745).

Almost surely, 2^42084680 is an apocalyptic number.

42084680 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 42084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52215840).

42084680 is an abundant number, since it is smaller than the sum of its proper divisors (62347000).

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

42084680 is a wasteful number, since it uses less digits than its factorization.

42084680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 42084680 is about 6487.2706125149. The cubic root of 42084680 is about 347.8361187233.

It can be divided in two parts, 4208 and 4680, that added together give a palindrome (8888).

The spelling of 42084680 in words is "forty-two million, eighty-four thousand, six hundred eighty".