86049600 has 336 divisors, whose sum is σ = 349227648. Its totient is φ = 18063360.

The previous prime is 86049569. The next prime is 86049619. The reversal of 86049600 is 694068.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436702 + ... + 436898.

It is an arithmetic number, because the mean of its divisors is an integer number (1039368).

Almost surely, 2^86049600 is an apocalyptic number.

86049600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174613824).

86049600 is an abundant number, since it is smaller than the sum of its proper divisors (263178048).

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

86049600 is a wasteful number, since it uses less digits than its factorization.

86049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 86049600 is about 9276.2923627924. The cubic root of 86049600 is about 441.4853383256.

The spelling of 86049600 in words is "eighty-six million, forty-nine thousand, six hundred".