1064673792 has 240 divisors, whose sum is σ = 3783299520. Its totient is φ = 280682496.

The previous prime is 1064673791. The next prime is 1064673793. The reversal of 1064673792 is 2973764601.

It is an interprime number because it is at equal distance from previous prime (1064673791) and next prime (1064673793).

It is a super-2 number, since 2×1064673792² = 2267060566743318528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064673791) 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, 418059 + ... + 420597.

It is an arithmetic number, because the mean of its divisors is an integer number (15763748).

It is a vampire number, since it can be written as 17472 ⋅ 60936 (with its own digits).

Almost surely, 2^1064673792 is an apocalyptic number.

1064673792 is a gapful number since it is divisible by the number (12) 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 1064673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891649760).

1064673792 is an abundant number, since it is smaller than the sum of its proper divisors (2718625728).

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

1064673792 is a wasteful number, since it uses less digits than its factorization.

1064673792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1064673792 is about 32629.3394355448. The cubic root of 1064673792 is about 1021.1091970594.

The spelling of 1064673792 in words is "one billion, sixty-four million, six hundred seventy-three thousand, seven hundred ninety-two".