86480892 has 48 divisors (see below), whose sum is σ = 224885920. Its totient is φ = 28740096.

The previous prime is 86480881. The next prime is 86480903. The reversal of 86480892 is 29808468.

It is a happy number.

86480892 is a `hidden beast` number, since 86 + 480 + 8 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (86480881) and next prime (86480903).

It is a super-2 number, since 2×86480892² = 14957889362231328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41868 + ... + 43884.

Almost surely, 2^86480892 is an apocalyptic number.

It is an amenable number.

86480892 is an abundant number, since it is smaller than the sum of its proper divisors (138405028).

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

86480892 is a wasteful number, since it uses less digits than its factorization.

86480892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2419 counting only the distinct ones).

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

The square root of 86480892 is about 9299.5103096884. The cubic root of 86480892 is about 442.2217037817.

It can be divided in two parts, 864808 and 92, that added together give a square (864900 = 930²).

The spelling of 86480892 in words is "eighty-six million, four hundred eighty thousand, eight hundred ninety-two".