1090034400 has 864 divisors, whose sum is σ = 4787693568. Its totient is φ = 212889600.

The previous prime is 1090034399. The next prime is 1090034401. The reversal of 1090034400 is 44300901.

It is an interprime number because it is at equal distance from previous prime (1090034399) and next prime (1090034401).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090034401) 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 143 ways as a sum of consecutive naturals, for example, 35162385 + ... + 35162415.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^1090034400 is an apocalyptic number.

1090034400 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 1090034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393846784).

1090034400 is an abundant number, since it is smaller than the sum of its proper divisors (3697659168).

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

1090034400 is a wasteful number, since it uses less digits than its factorization.

1090034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1090034400 is about 33015.6690073062. The cubic root of 1090034400 is about 1029.1532929105.

The spelling of 1090034400 in words is "one billion, ninety million, thirty-four thousand, four hundred".