1064984500 has 48 divisors (see below), whose sum is σ = 2347385040. Its totient is φ = 422064000.

The previous prime is 1064984489. The next prime is 1064984507. The reversal of 1064984500 is 54894601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 375816996 + 689167504 = 19386^2 + 26252^2 .

It is a super-2 number, since 2×1064984500² = 2268383970480500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1064984500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064984507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44730 + ... + 64270.

It is an arithmetic number, because the mean of its divisors is an integer number (48903855).

Almost surely, 2^1064984500 is an apocalyptic number.

1064984500 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 1064984500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173692520).

1064984500 is an abundant number, since it is smaller than the sum of its proper divisors (1282400540).

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

1064984500 is a wasteful number, since it uses less digits than its factorization.

1064984500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19669 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1064984500 is about 32634.1002633748. The cubic root of 1064984500 is about 1021.2085188551.

The spelling of 1064984500 in words is "one billion, sixty-four million, nine hundred eighty-four thousand, five hundred".