20162952 has 128 divisors (see below), whose sum is σ = 62640000. Its totient is φ = 5992704.

The previous prime is 20162951. The next prime is 20162957. The reversal of 20162952 is 25926102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 20162952 = 34³ + 272³ = 153³ + 255³.

It is not an unprimeable number, because it can be changed into a prime (20162951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061199 + ... + 1061217.

It is an arithmetic number, because the mean of its divisors is an integer number (489375).

Almost surely, 2^20162952 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 20162952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31320000).

20162952 is an abundant number, since it is smaller than the sum of its proper divisors (42477048).

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

20162952 is a wasteful number, since it uses less digits than its factorization.

20162952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20162952 is about 4490.3175834232. The cubic root of 20162952 is about 272.1769681696.

The spelling of 20162952 in words is "twenty million, one hundred sixty-two thousand, nine hundred fifty-two".