20029152 has 96 divisors (see below), whose sum is σ = 61810560. Its totient is φ = 5598720.

The previous prime is 20029147. The next prime is 20029157. The reversal of 20029152 is 25192002.

It is an interprime number because it is at equal distance from previous prime (20029147) and next prime (20029157).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20029157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12999 + ... + 14457.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 2^20029152 is an apocalyptic number.

20029152 is a gapful number since it is divisible by the number (22) 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 20029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905280).

20029152 is an abundant number, since it is smaller than the sum of its proper divisors (41781408).

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

20029152 is a wasteful number, since it uses less digits than its factorization.

20029152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20029152 is about 4475.3940608621. The cubic root of 20029152 is about 271.5735821370.

The spelling of 20029152 in words is "twenty million, twenty-nine thousand, one hundred fifty-two".