1087964640 has 432 divisors, whose sum is σ = 4577921712. Its totient is φ = 233791488.

The previous prime is 1087964639. The next prime is 1087964651. The reversal of 1087964640 is 464697801.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199067 + ... + 1199973.

It is an arithmetic number, because the mean of its divisors is an integer number (10597041).

Almost surely, 2^1087964640 is an apocalyptic number.

1087964640 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 1087964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288960856).

1087964640 is an abundant number, since it is smaller than the sum of its proper divisors (3489957072).

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

1087964640 is a wasteful number, since it uses less digits than its factorization.

1087964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1087964640 is about 32984.3089968549. The cubic root of 1087964640 is about 1028.5014939224.

The spelling of 1087964640 in words is "one billion, eighty-seven million, nine hundred sixty-four thousand, six hundred forty".