20602400 has 144 divisors (see below), whose sum is σ = 62121024. Its totient is φ = 6497280.

The previous prime is 20602357. The next prime is 20602409. The reversal of 20602400 is 420602.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20602409) 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 23 ways as a sum of consecutive naturals, for example, 72659 + ... + 72941.

It is an arithmetic number, because the mean of its divisors is an integer number (431396).

Almost surely, 2^20602400 is an apocalyptic number.

20602400 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 20602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31060512).

20602400 is an abundant number, since it is smaller than the sum of its proper divisors (41518624).

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

20602400 is a wasteful number, since it uses less digits than its factorization.

20602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20602400 is about 4538.9866710534. The cubic root of 20602400 is about 274.1401240409.

The spelling of 20602400 in words is "twenty million, six hundred two thousand, four hundred".