1020213600 has 144 divisors (see below), whose sum is σ = 3795257088. Its totient is φ = 233187840.

The previous prime is 1020213587. The next prime is 1020213643. The reversal of 1020213600 is 63120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020213600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13564 + ... + 47163.

It is an arithmetic number, because the mean of its divisors is an integer number (26355952).

Almost surely, 2^1020213600 is an apocalyptic number.

1020213600 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 1020213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897628544).

1020213600 is an abundant number, since it is smaller than the sum of its proper divisors (2775043488).

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

1020213600 is a wasteful number, since it uses less digits than its factorization.

1020213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60757 (or 60744 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1020213600 is about 31940.7827080051. The cubic root of 1020213600 is about 1006.6929708685.

Adding to 1020213600 its reverse (63120201), we get a palindrome (1083333801).

The spelling of 1020213600 in words is "one billion, twenty million, two hundred thirteen thousand, six hundred".