1141520688 has 560 divisors, whose sum is σ = 4371720192. Its totient is φ = 279936000.

The previous prime is 1141520629. The next prime is 1141520701. The reversal of 1141520688 is 8860251411.

1141520688 is a `hidden beast` number, since 11 + 41 + 520 + 6 + 88 = 666.

It is a super-2 number, since 2×1141520688² = 2606138962263986688, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27841948 + ... + 27841988.

Almost surely, 2^1141520688 is an apocalyptic number.

1141520688 is a gapful number since it is divisible by the number (18) 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 1141520688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185860096).

1141520688 is an abundant number, since it is smaller than the sum of its proper divisors (3230199504).

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

1141520688 is a wasteful number, since it uses less digits than its factorization.

1141520688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1141520688 is about 33786.3979731489. The cubic root of 1141520688 is about 1045.1082167793.

The spelling of 1141520688 in words is "one billion, one hundred forty-one million, five hundred twenty thousand, six hundred eighty-eight".