1151023968 has 72 divisors (see below), whose sum is σ = 3277402128. Its totient is φ = 383185152.

The previous prime is 1151023967. The next prime is 1151024023. The reversal of 1151023968 is 8693201511.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151023963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276430 + ... + 280562.

It is an arithmetic number, because the mean of its divisors is an integer number (45519474).

Almost surely, 2^1151023968 is an apocalyptic number.

1151023968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1151023968 is an abundant number, since it is smaller than the sum of its proper divisors (2126378160).

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

1151023968 is a wasteful number, since it uses less digits than its factorization.

1151023968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1151023968 is about 33926.7441408692. The cubic root of 1151023968 is about 1048.0004176134. Note that the first 3 decimals are identical.

The spelling of 1151023968 in words is "one billion, one hundred fifty-one million, twenty-three thousand, nine hundred sixty-eight".