1163978000 has 80 divisors (see below), whose sum is σ = 2962727040. Its totient is φ = 441072000.

The previous prime is 1163977979. The next prime is 1163978029. The reversal of 1163978000 is 8793611.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 22685 + ... + 53315.

It is an arithmetic number, because the mean of its divisors is an integer number (37034088).

Almost surely, 2^1163978000 is an apocalyptic number.

1163978000 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 1163978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481363520).

1163978000 is an abundant number, since it is smaller than the sum of its proper divisors (1798749040).

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

1163978000 is a wasteful number, since it uses less digits than its factorization.

1163978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30673 (or 30657 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1163978000 is about 34117.1218012305. The cubic root of 1163978000 is about 1051.9172830335.

The spelling of 1163978000 in words is "one billion, one hundred sixty-three million, nine hundred seventy-eight thousand".