1151623680 has 160 divisors (see below), whose sum is σ = 3716976384. Its totient is φ = 304152576.

The previous prime is 1151623663. The next prime is 1151623709. The reversal of 1151623680 is 863261511.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867177 + ... + 868503.

Almost surely, 2^1151623680 is an apocalyptic number.

1151623680 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 1151623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858488192).

1151623680 is an abundant number, since it is smaller than the sum of its proper divisors (2565352704).

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

1151623680 is a wasteful number, since it uses less digits than its factorization.

1151623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1151623680 is about 33935.5813269789. The cubic root of 1151623680 is about 1048.1823974045.

The spelling of 1151623680 in words is "one billion, one hundred fifty-one million, six hundred twenty-three thousand, six hundred eighty".