1162553616 has 360 divisors, whose sum is σ = 4004856024. Its totient is φ = 313528320.

The previous prime is 1162553603. The next prime is 1162553657. The reversal of 1162553616 is 6163552611.

1162553616 is a `hidden beast` number, since 1 + 16 + 25 + 5 + 3 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138297600 + 1024256016 = 11760^2 + 32004^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15925356 + ... + 15925428.

Almost surely, 2^1162553616 is an apocalyptic number.

1162553616 is a gapful number since it is divisible by the number (16) 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 1162553616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002428012).

1162553616 is an abundant number, since it is smaller than the sum of its proper divisors (2842302408).

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

1162553616 is a wasteful number, since it uses less digits than its factorization.

1162553616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 1162553616 is about 34096.2404965709. The cubic root of 1162553616 is about 1051.4880235618.

The spelling of 1162553616 in words is "one billion, one hundred sixty-two million, five hundred fifty-three thousand, six hundred sixteen".