1048135680 has 384 divisors, whose sum is σ = 3962649600. Its totient is φ = 261881856.

The previous prime is 1048135639. The next prime is 1048135709. The reversal of 1048135680 is 865318401.

1048135680 is a `hidden beast` number, since 10 + 4 + 81 + 3 + 568 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700049 + ... + 4700271.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^1048135680 is an apocalyptic number.

1048135680 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 1048135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981324800).

1048135680 is an abundant number, since it is smaller than the sum of its proper divisors (2914513920).

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

1048135680 is a wasteful number, since it uses less digits than its factorization.

1048135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1048135680 is about 32374.9236292536. The cubic root of 1048135680 is about 1015.7944486725.

The spelling of 1048135680 in words is "one billion, forty-eight million, one hundred thirty-five thousand, six hundred eighty".