1992900 has 144 divisors (see below), whose sum is σ = 7193984. Its totient is φ = 414720.

The previous prime is 1992889. The next prime is 1992911. The reversal of 1992900 is 92991.

1992900 = 7² + 8² + ... + 181².

1992900 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (1992889) and next prime (1992911).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27264 + ... + 27336.

2^1992900 is an apocalyptic number.

1992900 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 1992900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596992).

1992900 is an abundant number, since it is smaller than the sum of its proper divisors (5201084).

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

1992900 is a wasteful number, since it uses less digits than its factorization.

1992900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1992900 is about 1411.7011015084. The cubic root of 1992900 is about 125.8428375592.

1992900 divided by its sum of digits (30) gives a triangular number (66430 = T₃₆₄).

The spelling of 1992900 in words is "one million, nine hundred ninety-two thousand, nine hundred".