84414042 has 32 divisors (see below), whose sum is σ = 189034560. Its totient is φ = 27920880.

The previous prime is 84414007. The next prime is 84414047. The reversal of 84414042 is 24041448.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 84413997 and 84414015.

It is not an unprimeable number, because it can be changed into a prime (84414047) 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, 1108 + ... + 13040.

It is an arithmetic number, because the mean of its divisors is an integer number (5907330).

Almost surely, 2^84414042 is an apocalyptic number.

84414042 is an abundant number, since it is smaller than the sum of its proper divisors (104620518).

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

84414042 is a wasteful number, since it uses less digits than its factorization.

84414042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12069 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 84414042 is about 9187.7114669541. The cubic root of 84414042 is about 438.6703003747.

The spelling of 84414042 in words is "eighty-four million, four hundred fourteen thousand, forty-two".