1920100 has 72 divisors (see below), whose sum is σ = 5152448. Its totient is φ = 604800.

The previous prime is 1920089. The next prime is 1920101. The reversal of 1920100 is 10291.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1920101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8995 + ... + 9205.

2^1920100 is an apocalyptic number.

1920100 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 1920100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576224).

1920100 is an abundant number, since it is smaller than the sum of its proper divisors (3232348).

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

1920100 is a wasteful number, since it uses less digits than its factorization.

1920100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1920100 is about 1385.6767299771. The cubic root of 1920100 is about 124.2914580010.

Adding to 1920100 its reverse (10291), we get a palindrome (1930391).

The spelling of 1920100 in words is "one million, nine hundred twenty thousand, one hundred".