1151639680 has 64 divisors (see below), whose sum is σ = 2762415000. Its totient is φ = 459104256.

The previous prime is 1151639663. The next prime is 1151639707. The reversal of 1151639680 is 869361511.

It can be written as a sum of positive squares in 4 ways, for example, as 197571136 + 954068544 = 14056^2 + 30888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197446 + ... + 203194.

Almost surely, 2^1151639680 is an apocalyptic number.

1151639680 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 1151639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381207500).

1151639680 is an abundant number, since it is smaller than the sum of its proper divisors (1610775320).

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

1151639680 is an equidigital number, since it uses as much as digits as its factorization.

1151639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1151639680 is about 33935.8170669280. The cubic root of 1151639680 is about 1048.1872516640.

The spelling of 1151639680 in words is "one billion, one hundred fifty-one million, six hundred thirty-nine thousand, six hundred eighty".