84011424 has 48 divisors (see below), whose sum is σ = 252036288. Its totient is φ = 24003072.

The previous prime is 84011401. The next prime is 84011429. The reversal of 84011424 is 42411048.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 84011394 and 84011403.

It is not an unprimeable number, because it can be changed into a prime (84011429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61837 + ... + 63180.

It is an arithmetic number, because the mean of its divisors is an integer number (5250756).

Almost surely, 2^84011424 is an apocalyptic number.

84011424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84011424 is an abundant number, since it is smaller than the sum of its proper divisors (168024864).

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

84011424 is a wasteful number, since it uses less digits than its factorization.

84011424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125037 (or 125029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84011424 is about 9165.7745990178. The cubic root of 84011424 is about 437.9717669089.

The spelling of 84011424 in words is "eighty-four million, eleven thousand, four hundred twenty-four".