32034016 has 48 divisors (see below), whose sum is σ = 72987264. Its totient is φ = 13555584.

The previous prime is 32034007. The next prime is 32034017. The reversal of 32034016 is 61043023.

32034016 = 163³ + 164³ + ... + 169³.

It is a junction number, because it is equal to n+sod(n) for n = 32033984 and 32034002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32034017) 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, 17731 + ... + 19453.

It is an arithmetic number, because the mean of its divisors is an integer number (1520568).

Almost surely, 2^32034016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36493632).

32034016 is an abundant number, since it is smaller than the sum of its proper divisors (40953248).

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

32034016 is a wasteful number, since it uses less digits than its factorization.

32034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 32034016 is about 5659.8600689416. The cubic root of 32034016 is about 317.5926643781.

Adding to 32034016 its reverse (61043023), we get a palindrome (93077039).

It can be divided in two parts, 320340 and 16, that added together give a square (320356 = 566²).

The spelling of 32034016 in words is "thirty-two million, thirty-four thousand, sixteen".