16948900 has 18 divisors (see below), whose sum is σ = 36779330. Its totient is φ = 6779520.

The previous prime is 16948891. The next prime is 16948901. The reversal of 16948900 is 984961.

It can be written as a sum of positive squares in 3 ways, for example, as 4032064 + 12916836 = 2008^2 + 3594^2 .

It is a super-2 number, since 2×16948900² = 574530422420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16948900.

It is not an unprimeable number, because it can be changed into a prime (16948901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84645 + ... + 84844.

Almost surely, 2^16948900 is an apocalyptic number.

16948900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16948900 is an abundant number, since it is smaller than the sum of its proper divisors (19830430).

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

16948900 is a wasteful number, since it uses less digits than its factorization.

16948900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169503 (or 169496 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 16948900 is about 4116.9041766842. The cubic root of 16948900 is about 256.8702681645.

The spelling of 16948900 in words is "sixteen million, nine hundred forty-eight thousand, nine hundred".