1520213200 has 120 divisors (see below), whose sum is σ = 4022822880. Its totient is φ = 547468800.

The previous prime is 1520213173. The next prime is 1520213203. The reversal of 1520213200 is 23120251.

It is a super-2 number, since 2×1520213200² = 4622096346908480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520213203) 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, 469186 + ... + 472414.

It is an arithmetic number, because the mean of its divisors is an integer number (33523524).

Almost surely, 2^1520213200 is an apocalyptic number.

1520213200 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 1520213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011411440).

1520213200 is an abundant number, since it is smaller than the sum of its proper divisors (2502609680).

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

1520213200 is a wasteful number, since it uses less digits than its factorization.

1520213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1520213200 is about 38989.9115156729. The cubic root of 1520213200 is about 1149.8331705064.

Adding to 1520213200 its reverse (23120251), we get a palindrome (1543333451).

The spelling of 1520213200 in words is "one billion, five hundred twenty million, two hundred thirteen thousand, two hundred".