1085374080 has 384 divisors, whose sum is σ = 4446449280. Its totient is φ = 247836672.

The previous prime is 1085374079. The next prime is 1085374111. The reversal of 1085374080 is 804735801.

1085374080 is a `hidden beast` number, since 1 + 0 + 8 + 537 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088142 + ... + 1089138.

It is an arithmetic number, because the mean of its divisors is an integer number (11579295).

Almost surely, 2^1085374080 is an apocalyptic number.

1085374080 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 1085374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223224640).

1085374080 is an abundant number, since it is smaller than the sum of its proper divisors (3361075200).

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

1085374080 is an frugal number, since it uses more digits than its factorization.

1085374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1085374080 is about 32945.0160115305. The cubic root of 1085374080 is about 1027.6845211795.

The spelling of 1085374080 in words is "one billion, eighty-five million, three hundred seventy-four thousand, eighty".