1889640900 has 567 divisors, whose sum is σ = 7476182301. Its totient is φ = 413138880.

The previous prime is 1889640889. The next prime is 1889640901. The reversal of 1889640900 is 90469881.

The square root of 1889640900 is 43470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 680270724 + 1209370176 = 26082^2 + 34776^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1889640901) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 82158289 + ... + 82158311.

Almost surely, 2^1889640900 is an apocalyptic number.

1889640900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1889640900 is the 43470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1889640900

1889640900 is an abundant number, since it is smaller than the sum of its proper divisors (5586541401).

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

1889640900 is a wasteful number, since it uses less digits than its factorization.

1889640900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The cubic root of 1889640900 is about 1236.3072805621.

It can be divided in two parts, 1889640 and 900, that added together give a triangular number (1890540 = T₁₉₄₄).

The spelling of 1889640900 in words is "one billion, eight hundred eighty-nine million, six hundred forty thousand, nine hundred".