86552840 has 64 divisors (see below), whose sum is σ = 213624000. Its totient is φ = 31299840.

The previous prime is 86552827. The next prime is 86552863. The reversal of 86552840 is 4825568.

It is a super-2 number, since 2×86552840² = 14982788224131200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86552794 and 86552803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100331 + ... + 101189.

It is an arithmetic number, because the mean of its divisors is an integer number (3337875).

Almost surely, 2^86552840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86552840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106812000).

86552840 is an abundant number, since it is smaller than the sum of its proper divisors (127071160).

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

86552840 is a wasteful number, since it uses less digits than its factorization.

86552840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 86552840 is about 9303.3778811784. The cubic root of 86552840 is about 442.3443056154.

It can be divided in two parts, 865528 and 40, that added together give a palindrome (865568).

The spelling of 86552840 in words is "eighty-six million, five hundred fifty-two thousand, eight hundred forty".