16799400 has 240 divisors, whose sum is σ = 62791740. Its totient is φ = 4147200.

The previous prime is 16799399. The next prime is 16799411. The reversal of 16799400 is 499761.

16799400 is a `hidden beast` number, since 167 + 99 + 400 = 666.

16799400 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 6 ways, for example, as 3709476 + 13089924 = 1926^2 + 3618^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275370 + ... + 275430.

Almost surely, 2^16799400 is an apocalyptic number.

16799400 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 16799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31395870).

16799400 is an abundant number, since it is smaller than the sum of its proper divisors (45992340).

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

16799400 is a wasteful number, since it uses less digits than its factorization.

16799400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 16799400 is about 4098.7071132249. The cubic root of 16799400 is about 256.1127839632.

The spelling of 16799400 in words is "sixteen million, seven hundred ninety-nine thousand, four hundred".