86249088 has 48 divisors (see below), whose sum is σ = 248194050. Its totient is φ = 28749312.

The previous prime is 86249081. The next prime is 86249101. The reversal of 86249088 is 88094268.

It is a happy number.

86249088 is a `hidden beast` number, since 86 + 2 + 490 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 6110784 = 8952^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (86249081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36283 + ... + 38586.

Almost surely, 2^86249088 is an apocalyptic number.

It is an amenable number.

86249088 is an abundant number, since it is smaller than the sum of its proper divisors (161944962).

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

86249088 is a wasteful number, since it uses less digits than its factorization.

86249088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74889 (or 74874 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86249088 is about 9287.0387099441. The cubic root of 86249088 is about 441.8262388318.

The spelling of 86249088 in words is "eighty-six million, two hundred forty-nine thousand, eighty-eight".