1151984640 has 176 divisors, whose sum is σ = 3786000192. Its totient is φ = 298745856.

The previous prime is 1151984633. The next prime is 1151984671. The reversal of 1151984640 is 464891511.

It is a super-4 number, since 4×1151984640⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 567307 + ... + 569333.

Almost surely, 2^1151984640 is an apocalyptic number.

1151984640 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 1151984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893000096).

1151984640 is an abundant number, since it is smaller than the sum of its proper divisors (2634015552).

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

1151984640 is a wasteful number, since it uses less digits than its factorization.

1151984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1151984640 is about 33940.8992220300. The cubic root of 1151984640 is about 1048.2918985670.

The spelling of 1151984640 in words is "one billion, one hundred fifty-one million, nine hundred eighty-four thousand, six hundred forty".