1897200 has 180 divisors, whose sum is σ = 7195968. Its totient is φ = 460800.

The previous prime is 1897199. The next prime is 1897219. The reversal of 1897200 is 27981.

It is a tau number, because it is divible by the number of its divisors (180).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61185 + ... + 61215.

2^1897200 is an apocalyptic number.

1897200 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 1897200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597984).

1897200 is an abundant number, since it is smaller than the sum of its proper divisors (5298768).

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

1897200 is a wasteful number, since it uses less digits than its factorization.

1897200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1897200 is about 1377.3888339899. The cubic root of 1897200 is about 123.7953613931.

The spelling of 1897200 in words is "one million, eight hundred ninety-seven thousand, two hundred".