220137696 has 96 divisors (see below), whose sum is σ = 662860800. Its totient is φ = 71003520.

The previous prime is 220137661. The next prime is 220137703. The reversal of 220137696 is 696731022.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 220137696.

It is a congruent number.

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, 22675 + ... + 30893.

It is an arithmetic number, because the mean of its divisors is an integer number (6904800).

Almost surely, 2^220137696 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 220137696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331430400).

220137696 is an abundant number, since it is smaller than the sum of its proper divisors (442723104).

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

220137696 is a wasteful number, since it uses less digits than its factorization.

220137696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 220137696 is about 14837.0379793273. The cubic root of 220137696 is about 603.8069935781.

The spelling of 220137696 in words is "two hundred twenty million, one hundred thirty-seven thousand, six hundred ninety-six".