1087648320 has 224 divisors, whose sum is σ = 3801563136. Its totient is φ = 261273600.

The previous prime is 1087648301. The next prime is 1087648327. The reversal of 1087648320 is 238467801.

It is not an unprimeable number, because it can be changed into a prime (1087648327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340715 + ... + 1341525.

It is an arithmetic number, because the mean of its divisors is an integer number (16971264).

Almost surely, 2^1087648320 is an apocalyptic number.

1087648320 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 1087648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900781568).

1087648320 is an abundant number, since it is smaller than the sum of its proper divisors (2713914816).

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

1087648320 is a wasteful number, since it uses less digits than its factorization.

1087648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1087648320 is about 32979.5136410469. The cubic root of 1087648320 is about 1028.4018071263.

The spelling of 1087648320 in words is "one billion, eighty-seven million, six hundred forty-eight thousand, three hundred twenty".