1948900 has 18 divisors (see below), whose sum is σ = 4229330. Its totient is φ = 779520.

The previous prime is 1948883. The next prime is 1948907. The reversal of 1948900 is 98491.

It can be written as a sum of positive squares in 3 ways, for example, as 11236 + 1937664 = 106^2 + 1392^2 .

It is a super-2 number, since 2×1948900² = 7596422420000, which contains 22 as substring.

It is a plaindrome in base 11.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1948907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9645 + ... + 9844.

2^1948900 is an apocalyptic number.

1948900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948900 is an abundant number, since it is smaller than the sum of its proper divisors (2280430).

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

1948900 is a wasteful number, since it uses less digits than its factorization.

1948900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19503 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1948900 is about 1396.0300856357. The cubic root of 1948900 is about 124.9098015963.

The spelling of 1948900 in words is "one million, nine hundred forty-eight thousand, nine hundred".