1087390080 has 384 divisors, whose sum is σ = 4343976000. Its totient is φ = 245514240.

The previous prime is 1087390043. The next prime is 1087390081. The reversal of 1087390080 is 800937801.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087390081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6007590 + ... + 6007770.

Almost surely, 2^1087390080 is an apocalyptic number.

1087390080 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 1087390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171988000).

1087390080 is an abundant number, since it is smaller than the sum of its proper divisors (3256585920).

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

1087390080 is a wasteful number, since it uses less digits than its factorization.

1087390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1087390080 is about 32975.5982508278. The cubic root of 1087390080 is about 1028.3204096442.

The spelling of 1087390080 in words is "one billion, eighty-seven million, three hundred ninety thousand, eighty".