1086638652 has 168 divisors, whose sum is σ = 3275852160. Its totient is φ = 311778720.

The previous prime is 1086638603. The next prime is 1086638659. The reversal of 1086638652 is 2568366801.

1086638652 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 638 + 6 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1086638598 and 1086638607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086638659) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 608553 + ... + 610335.

It is an arithmetic number, because the mean of its divisors is an integer number (19499120).

Almost surely, 2^1086638652 is an apocalyptic number.

1086638652 is a gapful number since it is divisible by the number (12) 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 1086638652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637926080).

1086638652 is an abundant number, since it is smaller than the sum of its proper divisors (2189213508).

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

1086638652 is a wasteful number, since it uses less digits than its factorization.

1086638652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1086638652 is about 32964.2025840153. The cubic root of 1086638652 is about 1028.0834855260.

The spelling of 1086638652 in words is "one billion, eighty-six million, six hundred thirty-eight thousand, six hundred fifty-two".