1053193680 has 480 divisors, whose sum is σ = 4474499328. Its totient is φ = 217451520.

The previous prime is 1053193657. The next prime is 1053193681. The reversal of 1053193680 is 863913501.

It is a happy number.

1053193680 is a `hidden beast` number, since 10 + 531 + 9 + 36 + 80 = 666.

It is a super-2 number, since 2×1053193680² = 2218433855183884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053193681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6708162 + ... + 6708318.

Almost surely, 2^1053193680 is an apocalyptic number.

1053193680 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 1053193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237249664).

1053193680 is an abundant number, since it is smaller than the sum of its proper divisors (3421305648).

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

1053193680 is a wasteful number, since it uses less digits than its factorization.

1053193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1053193680 is about 32452.9456290180. The cubic root of 1053193680 is about 1017.4258041832.

The spelling of 1053193680 in words is "one billion, fifty-three million, one hundred ninety-three thousand, six hundred eighty".