1085290752 has 288 divisors, whose sum is σ = 3634460928. Its totient is φ = 279871488.

The previous prime is 1085290741. The next prime is 1085290757. The reversal of 1085290752 is 2570925801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1085290752.

It is not an unprimeable number, because it can be changed into a prime (1085290757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3703918 + ... + 3704210.

It is an arithmetic number, because the mean of its divisors is an integer number (12619656).

Almost surely, 2^1085290752 is an apocalyptic number.

1085290752 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 1085290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817230464).

1085290752 is an abundant number, since it is smaller than the sum of its proper divisors (2549170176).

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

1085290752 is a wasteful number, since it uses less digits than its factorization.

1085290752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 1085290752 is about 32943.7513346613. The cubic root of 1085290752 is about 1027.6582208501.

It can be divided in two parts, 108 and 5290752, that multiplied together give a square (571401216 = 23904²).

The spelling of 1085290752 in words is "one billion, eighty-five million, two hundred ninety thousand, seven hundred fifty-two".