220096032 has 96 divisors (see below), whose sum is σ = 642378240. Its totient is φ = 65525760.

The previous prime is 220096003. The next prime is 220096043. The reversal of 220096032 is 230690022.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 220095993 and 220096011.

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, 35844 + ... + 41532.

It is an arithmetic number, because the mean of its divisors is an integer number (6691440).

Almost surely, 2^220096032 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 220096032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321189120).

220096032 is an abundant number, since it is smaller than the sum of its proper divisors (422282208).

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

220096032 is a wasteful number, since it uses less digits than its factorization.

220096032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 220096032 is about 14835.6338590571. The cubic root of 220096032 is about 603.7688983278.

The spelling of 220096032 in words is "two hundred twenty million, ninety-six thousand, thirty-two".