20342400 has 192 divisors, whose sum is σ = 72599520. Its totient is φ = 4976640.

The previous prime is 20342389. The next prime is 20342411. The reversal of 20342400 is 424302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20342389) and next prime (20342411).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20342400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124719 + ... + 124881.

Almost surely, 2^20342400 is an apocalyptic number.

20342400 is a gapful number since it is divisible by the number (20) 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 20342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36299760).

20342400 is an abundant number, since it is smaller than the sum of its proper divisors (52257120).

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

20342400 is a wasteful number, since it uses less digits than its factorization.

20342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20342400 is about 4510.2549817056. The cubic root of 20342400 is about 272.9820326567.

Adding to 20342400 its reverse (424302), we get a palindrome (20766702).

The spelling of 20342400 in words is "twenty million, three hundred forty-two thousand, four hundred".