1520200 has 48 divisors (see below), whose sum is σ = 3861360. Its totient is φ = 552000.

The previous prime is 1520173. The next prime is 1520203. The reversal of 1520200 is 20251.

It is a super-2 number, since 2×1520200² = 4622016080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1520203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1855 + ... + 2545.

It is an arithmetic number, because the mean of its divisors is an integer number (80445).

2^1520200 is an apocalyptic number.

1520200 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 1520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930680).

1520200 is an abundant number, since it is smaller than the sum of its proper divisors (2341160).

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

1520200 is a wasteful number, since it uses less digits than its factorization.

1520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 1520200 is about 1232.9639086364. The cubic root of 1520200 is about 114.9829842499.

Adding to 1520200 its reverse (20251), we get a palindrome (1540451).

The spelling of 1520200 in words is "one million, five hundred twenty thousand, two hundred".