16342400 has 48 divisors (see below), whose sum is σ = 40378740. Its totient is φ = 6535680.

The previous prime is 16342393. The next prime is 16342409. The reversal of 16342400 is 424361.

It is a happy number.

16342400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16342409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 647 + ... + 5753.

Almost surely, 2^16342400 is an apocalyptic number.

16342400 is a gapful number since it is divisible by the number (10) 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 16342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189370).

16342400 is an abundant number, since it is smaller than the sum of its proper divisors (24036340).

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

16342400 is an equidigital number, since it uses as much as digits as its factorization.

16342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 16342400 is about 4042.5734377992. The cubic root of 16342400 is about 253.7690255660.

Adding to 16342400 its reverse (424361), we get a palindrome (16766761).

The spelling of 16342400 in words is "sixteen million, three hundred forty-two thousand, four hundred".