32084040 has 64 divisors (see below), whose sum is σ = 96888960. Its totient is φ = 8499200.

The previous prime is 32084029. The next prime is 32084051. The reversal of 32084040 is 4048023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32084029) and next prime (32084051).

It is a junction number, because it is equal to n+sod(n) for n = 32083998 and 32084016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19240 + ... + 20840.

It is an arithmetic number, because the mean of its divisors is an integer number (1513890).

Almost surely, 2^32084040 is an apocalyptic number.

32084040 is a gapful number since it is divisible by the number (30) 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 32084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48444480).

32084040 is an abundant number, since it is smaller than the sum of its proper divisors (64804920).

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

32084040 is a wasteful number, since it uses less digits than its factorization.

32084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 32084040 is about 5664.2775355733. The cubic root of 32084040 is about 317.7578949132.

The spelling of 32084040 in words is "thirty-two million, eighty-four thousand, forty".