86820552 has 192 divisors, whose sum is σ = 302601600. Its totient is φ = 22861440.

The previous prime is 86820533. The next prime is 86820583. The reversal of 86820552 is 25502868.

86820552 is a `hidden beast` number, since 86 + 8 + 20 + 552 = 666.

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

It is a congruent number.

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, 137277 + ... + 137907.

It is an arithmetic number, because the mean of its divisors is an integer number (1576050).

Almost surely, 2^86820552 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 86820552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151300800).

86820552 is an abundant number, since it is smaller than the sum of its proper divisors (215781048).

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

86820552 is a wasteful number, since it uses less digits than its factorization.

86820552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 86820552 is about 9317.7546651540. The cubic root of 86820552 is about 442.7999001182.

The spelling of 86820552 in words is "eighty-six million, eight hundred twenty thousand, five hundred fifty-two".