1090000512 has 144 divisors (see below), whose sum is σ = 3311625330. Its totient is φ = 344079360.

The previous prime is 1090000477. The next prime is 1090000523. The reversal of 1090000512 is 2150000901.

It can be written as a sum of positive squares in only one way, i.e., 773729856 + 316270656 = 27816^2 + 17784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1090000512² = 2376202232320524288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 414562 + ... + 417182.

Almost surely, 2^1090000512 is an apocalyptic number.

1090000512 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 1090000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655812665).

1090000512 is an abundant number, since it is smaller than the sum of its proper divisors (2221624818).

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

1090000512 is a wasteful number, since it uses less digits than its factorization.

1090000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1090000512 is about 33015.1557924539. The cubic root of 1090000512 is about 1029.1426277094.

The spelling of 1090000512 in words is "one billion, ninety million, five hundred twelve", and thus it is an aban number.