1088087040 has 352 divisors, whose sum is σ = 4103170560. Its totient is φ = 272498688.

The previous prime is 1088087029. The next prime is 1088087051. The reversal of 1088087040 is 407808801.

It is an interprime number because it is at equal distance from previous prime (1088087029) and next prime (1088087051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1088086986 and 1088087004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349849 + ... + 2350311.

Almost surely, 2^1088087040 is an apocalyptic number.

1088087040 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 1088087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051585280).

1088087040 is an abundant number, since it is smaller than the sum of its proper divisors (3015083520).

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

1088087040 is a wasteful number, since it uses less digits than its factorization.

1088087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1088087040 is about 32986.1643723547. The cubic root of 1088087040 is about 1028.5400625356.

The spelling of 1088087040 in words is "one billion, eighty-eight million, eighty-seven thousand, forty".