1087136640 has 320 divisors, whose sum is σ = 3952895760. Its totient is φ = 284663808.

The previous prime is 1087136599. The next prime is 1087136651. The reversal of 1087136640 is 466317801.

1087136640 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 1 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1087136595 and 1087136604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3473124 + ... + 3473436.

Almost surely, 2^1087136640 is an apocalyptic number.

1087136640 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 1087136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976447880).

1087136640 is an abundant number, since it is smaller than the sum of its proper divisors (2865759120).

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

1087136640 is an equidigital number, since it uses as much as digits as its factorization.

1087136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1087136640 is about 32971.7551853097. The cubic root of 1087136640 is about 1028.2405125955.

The spelling of 1087136640 in words is "one billion, eighty-seven million, one hundred thirty-six thousand, six hundred forty".