1024148160 has 336 divisors, whose sum is σ = 4137696576. Its totient is φ = 227598336.

The previous prime is 1024148149. The next prime is 1024148161. The reversal of 1024148160 is 618414201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1024148161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745234 + ... + 746606.

Almost surely, 2^1024148160 is an apocalyptic number.

1024148160 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 1024148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068848288).

1024148160 is an abundant number, since it is smaller than the sum of its proper divisors (3113548416).

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

1024148160 is a wasteful number, since it uses less digits than its factorization.

1024148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1024148160 is about 32002.3149162682. The cubic root of 1024148160 is about 1007.9854495254.

The spelling of 1024148160 in words is "one billion, twenty-four million, one hundred forty-eight thousand, one hundred sixty".