1024066080 has 144 divisors (see below), whose sum is σ = 3569215104. Its totient is φ = 267256320.

The previous prime is 1024066079. The next prime is 1024066091. The reversal of 1024066080 is 806604201.

1024066080 is a `hidden beast` number, since 10 + 2 + 40 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1024066080² = 2097422672413132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60115 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (24786216).

Almost surely, 2^1024066080 is an apocalyptic number.

1024066080 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 1024066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784607552).

1024066080 is an abundant number, since it is smaller than the sum of its proper divisors (2545149024).

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

1024066080 is a wasteful number, since it uses less digits than its factorization.

1024066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15199 (or 15188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1024066080 is about 32001.0324833434. The cubic root of 1024066080 is about 1007.9585205909.

The spelling of 1024066080 in words is "one billion, twenty-four million, sixty-six thousand, eighty".