86491600 has 60 divisors (see below), whose sum is σ = 223793836. Its totient is φ = 31933440.

The previous prime is 86491589. The next prime is 86491637. The reversal of 86491600 is 619468.

It can be written as a sum of positive squares in 6 ways, for example, as 22619536 + 63872064 = 4756^2 + 7992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3117 + ... + 13516.

Almost surely, 2^86491600 is an apocalyptic number.

86491600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86491600 is an abundant number, since it is smaller than the sum of its proper divisors (137302236).

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

86491600 is a wasteful number, since it uses less digits than its factorization.

86491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16664 (or 16653 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 86491600 is about 9300.0860211075. The cubic root of 86491600 is about 442.2399548830.

It can be divided in two parts, 8649 and 1600, that multiplied together give a square (13838400 = 3720²).

The spelling of 86491600 in words is "eighty-six million, four hundred ninety-one thousand, six hundred".