1064519820 has 576 divisors, whose sum is σ = 4314885120. Its totient is φ = 214244352.

The previous prime is 1064519801. The next prime is 1064519843. The reversal of 1064519820 is 289154601.

1064519820 is a `hidden beast` number, since 1 + 0 + 64 + 519 + 82 + 0 = 666.

It is a super-2 number, since 2×1064519820² = 2266404894345664800, 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12825499 + ... + 12825581.

It is an arithmetic number, because the mean of its divisors is an integer number (7491120).

Almost surely, 2^1064519820 is an apocalyptic number.

1064519820 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 1064519820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157442560).

1064519820 is an abundant number, since it is smaller than the sum of its proper divisors (3250365300).

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

1064519820 is a wasteful number, since it uses less digits than its factorization.

1064519820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1064519820 is about 32626.9799399209. The cubic root of 1064519820 is about 1021.0599707749.

The spelling of 1064519820 in words is "one billion, sixty-four million, five hundred nineteen thousand, eight hundred twenty".