1085829480 has 96 divisors (see below), whose sum is σ = 3714703200. Its totient is φ = 274313088.

The previous prime is 1085829419. The next prime is 1085829541. The reversal of 1085829480 is 849285801.

It is a happy number.

1085829480 is a `hidden beast` number, since 10 + 85 + 82 + 9 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1085829419) and next prime (1085829541).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72534 + ... + 86213.

It is an arithmetic number, because the mean of its divisors is an integer number (38694825).

Almost surely, 2^1085829480 is an apocalyptic number.

1085829480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085829480 is an abundant number, since it is smaller than the sum of its proper divisors (2628873720).

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

1085829480 is a wasteful number, since it uses less digits than its factorization.

1085829480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158783 (or 158776 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1085829480 is about 32951.9268025407. The cubic root of 1085829480 is about 1027.8282326425.

The spelling of 1085829480 in words is "one billion, eighty-five million, eight hundred twenty-nine thousand, four hundred eighty".