1153653840 has 200 divisors, whose sum is σ = 4136782848. Its totient is φ = 297665280.

The previous prime is 1153653817. The next prime is 1153653841. The reversal of 1153653840 is 483563511.

1153653840 is a `hidden beast` number, since 115 + 3 + 6 + 538 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1153653795 and 1153653804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153653841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198009 + ... + 203751.

Almost surely, 2^1153653840 is an apocalyptic number.

1153653840 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 1153653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068391424).

1153653840 is an abundant number, since it is smaller than the sum of its proper divisors (2983129008).

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

1153653840 is a wasteful number, since it uses less digits than its factorization.

1153653840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1153653840 is about 33965.4801232074. The cubic root of 1153653840 is about 1048.7979713946.

The spelling of 1153653840 in words is "one billion, one hundred fifty-three million, six hundred fifty-three thousand, eight hundred forty".