1086037632 has 240 divisors, whose sum is σ = 3370291650. Its totient is φ = 347120640.

The previous prime is 1086037619. The next prime is 1086037633. The reversal of 1086037632 is 2367306801.

It is a happy number.

1086037632 is a `hidden beast` number, since 10 + 8 + 6 + 0 + 3 + 7 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 841928256 + 244109376 = 29016^2 + 15624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1086037633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9963594 + ... + 9963702.

Almost surely, 2^1086037632 is an apocalyptic number.

1086037632 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 1086037632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685145825).

1086037632 is an abundant number, since it is smaller than the sum of its proper divisors (2284254018).

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

1086037632 is an equidigital number, since it uses as much as digits as its factorization.

1086037632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1086037632 is about 32955.0850704410. The cubic root of 1086037632 is about 1027.8939061934.

The spelling of 1086037632 in words is "one billion, eighty-six million, thirty-seven thousand, six hundred thirty-two".