1053269600 has 72 divisors (see below), whose sum is σ = 2575803888. Its totient is φ = 420569600.

The previous prime is 1053269599. The next prime is 1053269653. The reversal of 1053269600 is 69623501.

It is a happy number.

It is a super-2 number, since 2×1053269600² = 2218753700568320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824162 + ... + 825438.

It is an arithmetic number, because the mean of its divisors is an integer number (35775054).

Almost surely, 2^1053269600 is an apocalyptic number.

1053269600 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 1053269600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287901944).

1053269600 is an abundant number, since it is smaller than the sum of its proper divisors (1522534288).

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

1053269600 is a wasteful number, since it uses less digits than its factorization.

1053269600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 1053269600 is about 32454.1153014529. The cubic root of 1053269600 is about 1017.4502508139.

The spelling of 1053269600 in words is "one billion, fifty-three million, two hundred sixty-nine thousand, six hundred".