10084032 has 168 divisors, whose sum is σ = 34393632. Its totient is φ = 2764800.

The previous prime is 10084031. The next prime is 10084049. The reversal of 10084032 is 23048001.

It is a happy number.

10084032 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10083996 and 10084014.

It is not an unprimeable number, because it can be changed into a prime (10084031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165282 + ... + 165342.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^10084032 is an apocalyptic number.

10084032 is a gapful number since it is divisible by the number (12) 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 10084032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17196816).

10084032 is an abundant number, since it is smaller than the sum of its proper divisors (24309600).

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

10084032 is a wasteful number, since it uses less digits than its factorization.

10084032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10084032 is about 3175.5364901068. The cubic root of 10084032 is about 216.0452580062.

It can be divided in two parts, 1008 and 4032, that multiplied together give a square (4064256 = 2016²).

The spelling of 10084032 in words is "ten million, eighty-four thousand, thirty-two".