1048268160 has 192 divisors, whose sum is σ = 3650849280. Its totient is φ = 277143552.

The previous prime is 1048268149. The next prime is 1048268167. The reversal of 1048268160 is 618628401.

1048268160 is a `hidden beast` number, since 10 + 482 + 6 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1048268160² = 2197732270539571200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1048268167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730804 + ... + 732236.

It is an arithmetic number, because the mean of its divisors is an integer number (19014840).

Almost surely, 2^1048268160 is an apocalyptic number.

1048268160 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 1048268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825424640).

1048268160 is an abundant number, since it is smaller than the sum of its proper divisors (2602581120).

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

1048268160 is a wasteful number, since it uses less digits than its factorization.

1048268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1048268160 is about 32376.9695925978. The cubic root of 1048268160 is about 1015.8372442703.

The spelling of 1048268160 in words is "one billion, forty-eight million, two hundred sixty-eight thousand, one hundred sixty".