1026749120 has 56 divisors (see below), whose sum is σ = 2449677600. Its totient is φ = 409905152.

The previous prime is 1026749111. The next prime is 1026749137. The reversal of 1026749120 is 219476201.

It is a happy number.

1026749120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179261 + ... + 184899.

Almost surely, 2^1026749120 is an apocalyptic number.

1026749120 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 1026749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224838800).

1026749120 is an abundant number, since it is smaller than the sum of its proper divisors (1422928480).

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

1026749120 is an equidigital number, since it uses as much as digits as its factorization.

1026749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1026749120 is about 32042.9262084473. The cubic root of 1026749120 is about 1008.8380324013.

The spelling of 1026749120 in words is "one billion, twenty-six million, seven hundred forty-nine thousand, one hundred twenty".