20952288 has 144 divisors (see below), whose sum is σ = 71809920. Its totient is φ = 5660928.

The previous prime is 20952277. The next prime is 20952289. The reversal of 20952288 is 88225902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20952289) 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, 38031 + ... + 38577.

It is an arithmetic number, because the mean of its divisors is an integer number (498680).

Almost surely, 2^20952288 is an apocalyptic number.

20952288 is a gapful number since it is divisible by the number (28) 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 20952288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904960).

20952288 is an abundant number, since it is smaller than the sum of its proper divisors (50857632).

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

20952288 is a wasteful number, since it uses less digits than its factorization.

20952288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20952288 is about 4577.3669287048. The cubic root of 20952288 is about 275.6833166746.

The spelling of 20952288 in words is "twenty million, nine hundred fifty-two thousand, two hundred eighty-eight".