1030564080 has 640 divisors, whose sum is σ = 4499712000. Its totient is φ = 215405568.

The previous prime is 1030564061. The next prime is 1030564091. The reversal of 1030564080 is 804650301.

1030564080 is a `hidden beast` number, since 10 + 3 + 0 + 5 + 640 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9631387 + ... + 9631493.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^1030564080 is an apocalyptic number.

1030564080 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 1030564080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856000).

1030564080 is an abundant number, since it is smaller than the sum of its proper divisors (3469147920).

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

1030564080 is a wasteful number, since it uses less digits than its factorization.

1030564080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1030564080 is about 32102.3999102871. The cubic root of 1030564080 is about 1010.0859581124.

The spelling of 1030564080 in words is "one billion, thirty million, five hundred sixty-four thousand, eighty".