16191400 has 48 divisors (see below), whose sum is σ = 38195100. Its totient is φ = 6382080.

The previous prime is 16191353. The next prime is 16191407. The reversal of 16191400 is 419161.

It can be written as a sum of positive squares in 6 ways, for example, as 1887876 + 14303524 = 1374^2 + 3782^2 .

It is a super-2 number, since 2×16191400² = 524322867920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16191407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14046 + ... + 15154.

Almost surely, 2^16191400 is an apocalyptic number.

16191400 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 16191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19097550).

16191400 is an abundant number, since it is smaller than the sum of its proper divisors (22003700).

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

16191400 is a wasteful number, since it uses less digits than its factorization.

16191400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 16191400 is about 4023.8538740864. The cubic root of 16191400 is about 252.9850168446.

The spelling of 16191400 in words is "sixteen million, one hundred ninety-one thousand, four hundred".