1087587648 has 560 divisors, whose sum is σ = 4089343104. Its totient is φ = 278691840.

The previous prime is 1087587647. The next prime is 1087587649. The reversal of 1087587648 is 8467857801.

It is a happy number.

1087587648 is a `hidden beast` number, since 10 + 8 + 7 + 587 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1087587647) and next prime (1087587649).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1087587594 and 1087587603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087587647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25292715 + ... + 25292757.

Almost surely, 2^1087587648 is an apocalyptic number.

1087587648 is a gapful number since it is divisible by the number (18) 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 1087587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044671552).

1087587648 is an abundant number, since it is smaller than the sum of its proper divisors (3001755456).

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

1087587648 is a wasteful number, since it uses less digits than its factorization.

1087587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 1087587648 is about 32978.5937844536. The cubic root of 1087587648 is about 1028.3826844149.

The spelling of 1087587648 in words is "one billion, eighty-seven million, five hundred eighty-seven thousand, six hundred forty-eight".