1653260800 has 120 divisors (see below), whose sum is σ = 4175079876. Its totient is φ = 648560640.

The previous prime is 1653260743. The next prime is 1653260803. The reversal of 1653260800 is 80623561.

It can be written as a sum of positive squares in 6 ways, for example, as 1213268224 + 439992576 = 34832^2 + 20976^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1653260803) 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, 677182 + ... + 679618.

Almost surely, 2^1653260800 is an apocalyptic number.

1653260800 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 1653260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087539938).

1653260800 is an abundant number, since it is smaller than the sum of its proper divisors (2521819076).

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

1653260800 is an equidigital number, since it uses as much as digits as its factorization.

1653260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1653260800 is about 40660.3098856858. The cubic root of 1653260800 is about 1182.4436575771.

The spelling of 1653260800 in words is "one billion, six hundred fifty-three million, two hundred sixty thousand, eight hundred".