1085667744 has 96 divisors (see below), whose sum is σ = 3262242816. Its totient is φ = 309692160.

The previous prime is 1085667743. The next prime is 1085667761. The reversal of 1085667744 is 4477665801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1085667693 and 1085667702.

It is not an unprimeable number, because it can be changed into a prime (1085667743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692049 + ... + 693615.

It is an arithmetic number, because the mean of its divisors is an integer number (33981696).

Almost surely, 2^1085667744 is an apocalyptic number.

1085667744 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 1085667744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631121408).

1085667744 is an abundant number, since it is smaller than the sum of its proper divisors (2176575072).

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

1085667744 is a wasteful number, since it uses less digits than its factorization.

1085667744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 1085667744 is about 32949.4725906197. The cubic root of 1085667744 is about 1027.7771979007. Note that the first 3 decimals are identical.

The spelling of 1085667744 in words is "one billion, eighty-five million, six hundred sixty-seven thousand, seven hundred forty-four".