1087076640 has 384 divisors, whose sum is σ = 3977890560. Its totient is φ = 247283712.

The previous prime is 1087076603. The next prime is 1087076651. The reversal of 1087076640 is 466707801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6283594 + ... + 6283766.

It is an arithmetic number, because the mean of its divisors is an integer number (10359090).

Almost surely, 2^1087076640 is an apocalyptic number.

1087076640 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 1087076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988945280).

1087076640 is an abundant number, since it is smaller than the sum of its proper divisors (2890813920).

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

1087076640 is a wasteful number, since it uses less digits than its factorization.

1087076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1087076640 is about 32970.8453030856. The cubic root of 1087076640 is about 1028.2215957567.

The spelling of 1087076640 in words is "one billion, eighty-seven million, seventy-six thousand, six hundred forty".