1053680600 has 192 divisors, whose sum is σ = 2993379840. Its totient is φ = 337075200.

The previous prime is 1053680533. The next prime is 1053680603. The reversal of 1053680600 is 60863501.

It is a super-2 number, since 2×1053680600² = 2220485613632720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053680603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384220 + ... + 1384980.

It is an arithmetic number, because the mean of its divisors is an integer number (15590520).

Almost surely, 2^1053680600 is an apocalyptic number.

1053680600 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 1053680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496689920).

1053680600 is an abundant number, since it is smaller than the sum of its proper divisors (1939699240).

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

1053680600 is a wasteful number, since it uses less digits than its factorization.

1053680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1053680600 is about 32460.4467005616. The cubic root of 1053680600 is about 1017.5825745396.

The spelling of 1053680600 in words is "one billion, fifty-three million, six hundred eighty thousand, six hundred".