86451552 has 144 divisors (see below), whose sum is σ = 277739280. Its totient is φ = 25267200.

The previous prime is 86451551. The next prime is 86451559. The reversal of 86451552 is 25515468.

86451552 is a `hidden beast` number, since 8 + 645 + 1 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86451551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91402 + ... + 92342.

It is an arithmetic number, because the mean of its divisors is an integer number (1928745).

Almost surely, 2^86451552 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 86451552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138869640).

86451552 is an abundant number, since it is smaller than the sum of its proper divisors (191287728).

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

86451552 is a wasteful number, since it uses less digits than its factorization.

86451552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 986 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 86451552 is about 9297.9326734495. The cubic root of 86451552 is about 442.1716879070.

The spelling of 86451552 in words is "eighty-six million, four hundred fifty-one thousand, five hundred fifty-two".