1151076960 has 192 divisors, whose sum is σ = 4395202560. Its totient is φ = 279037440.

The previous prime is 1151076947. The next prime is 1151076977. The reversal of 1151076960 is 696701511.

It is a happy number.

1151076960 is a `hidden beast` number, since 11 + 510 + 76 + 9 + 60 = 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 31 ways as a sum of consecutive naturals, for example, 35409 + ... + 59631.

It is an arithmetic number, because the mean of its divisors is an integer number (22891680).

Almost surely, 2^1151076960 is an apocalyptic number.

1151076960 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 1151076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197601280).

1151076960 is an abundant number, since it is smaller than the sum of its proper divisors (3244125600).

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

1151076960 is a wasteful number, since it uses less digits than its factorization.

1151076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24258 (or 24244 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1151076960 is about 33927.5251086784. The cubic root of 1151076960 is about 1048.0165003326.

The spelling of 1151076960 in words is "one billion, one hundred fifty-one million, seventy-six thousand, nine hundred sixty".