86793552 has 80 divisors (see below), whose sum is σ = 257205760. Its totient is φ = 27993600.

The previous prime is 86793503. The next prime is 86793557. The reversal of 86793552 is 25539768.

It is a happy number.

86793552 is a `hidden beast` number, since 8 + 6 + 7 + 93 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86793498 and 86793507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86793557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10152 + ... + 16632.

It is an arithmetic number, because the mean of its divisors is an integer number (3215072).

Almost surely, 2^86793552 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 86793552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128602880).

86793552 is an abundant number, since it is smaller than the sum of its proper divisors (170412208).

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

86793552 is a wasteful number, since it uses less digits than its factorization.

86793552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6517 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 86793552 is about 9316.3057055895. The cubic root of 86793552 is about 442.7539937954.

The spelling of 86793552 in words is "eighty-six million, seven hundred ninety-three thousand, five hundred fifty-two".