1086894720 has 256 divisors, whose sum is σ = 3975552000. Its totient is φ = 280350720.

The previous prime is 1086894713. The next prime is 1086894727. The reversal of 1086894720 is 274986801.

It is an interprime number because it is at equal distance from previous prime (1086894713) and next prime (1086894727).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1086894727) 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, 534666 + ... + 536694.

It is an arithmetic number, because the mean of its divisors is an integer number (15529500).

Almost surely, 2^1086894720 is an apocalyptic number.

1086894720 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 1086894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987776000).

1086894720 is an abundant number, since it is smaller than the sum of its proper divisors (2888657280).

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

1086894720 is a wasteful number, since it uses less digits than its factorization.

1086894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1086894720 is about 32968.0863866861. The cubic root of 1086894720 is about 1028.1642356463.

The spelling of 1086894720 in words is "one billion, eighty-six million, eight hundred ninety-four thousand, seven hundred twenty".