1148020608 has 384 divisors, whose sum is σ = 3897240480. Its totient is φ = 297271296.

The previous prime is 1148020607. The next prime is 1148020609. The reversal of 1148020608 is 8060208411.

It is an interprime number because it is at equal distance from previous prime (1148020607) and next prime (1148020609).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148020607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11835216 + ... + 11835312.

Almost surely, 2^1148020608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948620240).

1148020608 is an abundant number, since it is smaller than the sum of its proper divisors (2749219872).

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

1148020608 is a wasteful number, since it uses less digits than its factorization.

1148020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1148020608 is about 33882.4528037744. The cubic root of 1148020608 is about 1047.0881099056.

The spelling of 1148020608 in words is "one billion, one hundred forty-eight million, twenty thousand, six hundred eight".