1094882880 has 448 divisors, whose sum is σ = 4358688768. Its totient is φ = 226713600.

The previous prime is 1094882827. The next prime is 1094882881. The reversal of 1094882880 is 882884901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1094882880³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1094882881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7250805 + ... + 7250955.

It is an arithmetic number, because the mean of its divisors is an integer number (9729216).

Almost surely, 2^1094882880 is an apocalyptic number.

1094882880 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 1094882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179344384).

1094882880 is an abundant number, since it is smaller than the sum of its proper divisors (3263805888).

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

1094882880 is a wasteful number, since it uses less digits than its factorization.

1094882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 1094882880 is about 33089.0144912175. The cubic root of 1094882880 is about 1030.6769295717.

The spelling of 1094882880 in words is "one billion, ninety-four million, eight hundred eighty-two thousand, eight hundred eighty".