1026195480 has 320 divisors, whose sum is σ = 3776129280. Its totient is φ = 248832000.

The previous prime is 1026195431. The next prime is 1026195493. The reversal of 1026195480 is 845916201.

1026195480 is a `hidden beast` number, since 102 + 6 + 1 + 9 + 548 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1707180 + ... + 1707780.

It is an arithmetic number, because the mean of its divisors is an integer number (11800404).

Almost surely, 2^1026195480 is an apocalyptic number.

1026195480 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 1026195480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888064640).

1026195480 is an abundant number, since it is smaller than the sum of its proper divisors (2749933800).

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

1026195480 is a wasteful number, since it uses less digits than its factorization.

1026195480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

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

The square root of 1026195480 is about 32034.2860073391. The cubic root of 1026195480 is about 1008.6566724509.

The spelling of 1026195480 in words is "one billion, twenty-six million, one hundred ninety-five thousand, four hundred eighty".