16996900 has 36 divisors (see below), whose sum is σ = 38161620. Its totient is φ = 6563200.

The previous prime is 16996891. The next prime is 16996907. The reversal of 16996900 is 969961.

It can be written as a sum of positive squares in 6 ways, for example, as 399424 + 16597476 = 632^2 + 4074^2 .

It is a super-2 number, since 2×16996900² = 577789219220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16996907) 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, 31 + ... + 5830.

It is an arithmetic number, because the mean of its divisors is an integer number (1060045).

Almost surely, 2^16996900 is an apocalyptic number.

16996900 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 16996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080810).

16996900 is an abundant number, since it is smaller than the sum of its proper divisors (21164720).

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

16996900 is a wasteful number, since it uses less digits than its factorization.

16996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 16996900 is about 4122.7296782593. The cubic root of 16996900 is about 257.1125287570.

The spelling of 16996900 in words is "sixteen million, nine hundred ninety-six thousand, nine hundred".