84288132 has 36 divisors (see below), whose sum is σ = 219937536. Its totient is φ = 27189360.

The previous prime is 84288107. The next prime is 84288133. The reversal of 84288132 is 23188248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84288133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36648 + ... + 38879.

It is an arithmetic number, because the mean of its divisors is an integer number (6109376).

Almost surely, 2^84288132 is an apocalyptic number.

It is an amenable number.

84288132 is an abundant number, since it is smaller than the sum of its proper divisors (135649404).

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

84288132 is a wasteful number, since it uses less digits than its factorization.

84288132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75568 (or 75563 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 84288132 is about 9180.8568227590. The cubic root of 84288132 is about 438.4520884106.

The spelling of 84288132 in words is "eighty-four million, two hundred eighty-eight thousand, one hundred thirty-two".