1153630080 has 256 divisors, whose sum is σ = 4132468800. Its totient is φ = 304128000.

The previous prime is 1153630069. The next prime is 1153630097. The reversal of 1153630080 is 800363511.

It is a super-2 number, since 2×1153630080² = 2661724722961612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744950 + ... + 1745610.

Almost surely, 2^1153630080 is an apocalyptic number.

1153630080 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 1153630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066234400).

1153630080 is an abundant number, since it is smaller than the sum of its proper divisors (2978838720).

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

1153630080 is a wasteful number, since it uses less digits than its factorization.

1153630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1153630080 is about 33965.1303545268. The cubic root of 1153630080 is about 1048.7907711958.

Adding to 1153630080 its reverse (800363511), we get a palindrome (1953993591).

It can be divided in two parts, 11536 and 30080, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 1153630080 in words is "one billion, one hundred fifty-three million, six hundred thirty thousand, eighty".