1026790464 has 224 divisors, whose sum is σ = 3225840640. Its totient is φ = 282175488.

The previous prime is 1026790459. The next prime is 1026790469. The reversal of 1026790464 is 4640976201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1026790459) and next prime (1026790469).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1026790464² = 2108597313922670592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1026790469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6299247 + ... + 6299409.

Almost surely, 2^1026790464 is an apocalyptic number.

1026790464 is a gapful number since it is divisible by the number (14) 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 1026790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612920320).

1026790464 is an abundant number, since it is smaller than the sum of its proper divisors (2199050176).

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

1026790464 is a wasteful number, since it uses less digits than its factorization.

1026790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 1026790464 is about 32043.5713365411. The cubic root of 1026790464 is about 1008.8515731449.

The spelling of 1026790464 in words is "one billion, twenty-six million, seven hundred ninety thousand, four hundred sixty-four".