1088745840 has 640 divisors, whose sum is σ = 4799692800. Its totient is φ = 220631040.

The previous prime is 1088745839. The next prime is 1088745893. The reversal of 1088745840 is 485478801.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5700145 + ... + 5700335.

It is an arithmetic number, because the mean of its divisors is an integer number (7499520).

Almost surely, 2^1088745840 is an apocalyptic number.

1088745840 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 1088745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399846400).

1088745840 is an abundant number, since it is smaller than the sum of its proper divisors (3710946960).

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

1088745840 is a wasteful number, since it uses less digits than its factorization.

1088745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1088745840 is about 32996.1488661935. The cubic root of 1088745840 is about 1028.7476027596.

The spelling of 1088745840 in words is "one billion, eighty-eight million, seven hundred forty-five thousand, eight hundred forty".