1086128640 has 480 divisors, whose sum is σ = 4136520960. Its totient is φ = 262275072.

The previous prime is 1086128627. The next prime is 1086128651. The reversal of 1086128640 is 468216801.

1086128640 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1086128595 and 1086128604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18408931 + ... + 18408989.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^1086128640 is an apocalyptic number.

1086128640 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 1086128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480).

1086128640 is an abundant number, since it is smaller than the sum of its proper divisors (3050392320).

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

1086128640 is a wasteful number, since it uses less digits than its factorization.

1086128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1086128640 is about 32956.4658299400. The cubic root of 1086128640 is about 1027.9226172782.

The spelling of 1086128640 in words is "one billion, eighty-six million, one hundred twenty-eight thousand, six hundred forty".