20714400 has 288 divisors, whose sum is σ = 86244480. Its totient is φ = 4700160.

The previous prime is 20714383. The next prime is 20714429. The reversal of 20714400 is 441702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151132 + ... + 151268.

It is an arithmetic number, because the mean of its divisors is an integer number (299460).

Almost surely, 2^20714400 is an apocalyptic number.

20714400 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 20714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240).

20714400 is an abundant number, since it is smaller than the sum of its proper divisors (65530080).

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

20714400 is a wasteful number, since it uses less digits than its factorization.

20714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20714400 is about 4551.3075044431. The cubic root of 20714400 is about 274.6359922176.

The spelling of 20714400 in words is "twenty million, seven hundred fourteen thousand, four hundred".