16970400 has 108 divisors (see below), whose sum is σ = 59867262. Its totient is φ = 4523520.

The previous prime is 16970399. The next prime is 16970407. The reversal of 16970400 is 407961.

It can be written as a sum of positive squares in 3 ways, for example, as 9809424 + 7160976 = 3132^2 + 2676^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16970407) 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, 6022 + ... + 8378.

Almost surely, 2^16970400 is an apocalyptic number.

16970400 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 16970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29933631).

16970400 is an abundant number, since it is smaller than the sum of its proper divisors (42896862).

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

16970400 is a wasteful number, since it uses less digits than its factorization.

16970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16970400 is about 4119.5145345052. The cubic root of 16970400 is about 256.9788372002.

The spelling of 16970400 in words is "sixteen million, nine hundred seventy thousand, four hundred".