1081701600 has 432 divisors, whose sum is σ = 4219979904. Its totient is φ = 235699200.

The previous prime is 1081701581. The next prime is 1081701601. The reversal of 1081701600 is 61071801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081701601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16144767 + ... + 16144833.

It is an arithmetic number, because the mean of its divisors is an integer number (9768472).

Almost surely, 2^1081701600 is an apocalyptic number.

1081701600 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 1081701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109989952).

1081701600 is an abundant number, since it is smaller than the sum of its proper divisors (3138278304).

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

1081701600 is a wasteful number, since it uses less digits than its factorization.

1081701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1081701600 is about 32889.2322804896. The cubic root of 1081701600 is about 1026.5241176872.

The spelling of 1081701600 in words is "one billion, eighty-one million, seven hundred one thousand, six hundred".