1171553760 has 384 divisors, whose sum is σ = 4612930560. Its totient is φ = 275539968.

The previous prime is 1171553753. The next prime is 1171553821. The reversal of 1171553760 is 673551711.

1171553760 is a `hidden beast` number, since 117 + 1 + 5 + 537 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291227 + ... + 1292133.

It is an arithmetic number, because the mean of its divisors is an integer number (12012840).

Almost surely, 2^1171553760 is an apocalyptic number.

1171553760 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 1171553760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306465280).

1171553760 is an abundant number, since it is smaller than the sum of its proper divisors (3441376800).

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

1171553760 is a wasteful number, since it uses less digits than its factorization.

1171553760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 1171553760 is about 34227.9675119631. The cubic root of 1171553760 is about 1054.1944870687.

It can be divided in two parts, 1171 and 553760, that added together give a triangular number (554931 = T₁₀₅₃).

The spelling of 1171553760 in words is "one billion, one hundred seventy-one million, five hundred fifty-three thousand, seven hundred sixty".