1087664760 has 960 divisors, whose sum is σ = 5005566720. Its totient is φ = 209018880.

The previous prime is 1087664759. The next prime is 1087664761. The reversal of 1087664760 is 674667801.

1087664760 is a `hidden beast` number, since 108 + 76 + 6 + 476 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1087664759) and next prime (1087664761).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087664761) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 35085945 + ... + 35085975.

It is an arithmetic number, because the mean of its divisors is an integer number (5214132).

Almost surely, 2^1087664760 is an apocalyptic number.

1087664760 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 1087664760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502783360).

1087664760 is an abundant number, since it is smaller than the sum of its proper divisors (3917901960).

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

1087664760 is a wasteful number, since it uses less digits than its factorization.

1087664760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1087664760 is about 32979.7628857456. The cubic root of 1087664760 is about 1028.4069885930.

It can be divided in two parts, 108766 and 4760, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 1087664760 in words is "one billion, eighty-seven million, six hundred sixty-four thousand, seven hundred sixty".