16700400 has 90 divisors (see below), whose sum is σ = 57967520. Its totient is φ = 4452480.

The previous prime is 16700371. The next prime is 16700401. The reversal of 16700400 is 400761.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16700401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1281 + ... + 5919.

Almost surely, 2^16700400 is an apocalyptic number.

16700400 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 16700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28983760).

16700400 is an abundant number, since it is smaller than the sum of its proper divisors (41267120).

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

16700400 is a wasteful number, since it uses less digits than its factorization.

16700400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16700400 is about 4086.6122889259. The cubic root of 16700400 is about 255.6086958035.

The spelling of 16700400 in words is "sixteen million, seven hundred thousand, four hundred".