15998400 has 252 divisors, whose sum is σ = 62645544. Its totient is φ = 3840000.

The previous prime is 15998383. The next prime is 15998407. The reversal of 15998400 is 489951.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15998407) 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 35 ways as a sum of consecutive naturals, for example, 158350 + ... + 158450.

Almost surely, 2^15998400 is an apocalyptic number.

15998400 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 15998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31322772).

15998400 is an abundant number, since it is smaller than the sum of its proper divisors (46647144).

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

15998400 is a wasteful number, since it uses less digits than its factorization.

15998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 15998400 is about 3999.7999949997. The cubic root of 15998400 is about 251.9758102253.

Multiplying 15998400 by its reverse (489951), we get a square (7838432078400 = 2799720²).

It can be divided in two parts, 1599 and 8400, that added together give a palindrome (9999).

The spelling of 15998400 in words is "fifteen million, nine hundred ninety-eight thousand, four hundred".