86576049 has 24 divisors (see below), whose sum is σ = 147850560. Its totient is φ = 47765088.

The previous prime is 86576023. The next prime is 86576111. The reversal of 86576049 is 94067568.

86576049 = T₂₄₂₉ + T₂₄₃₀ + ... + T₂₄₅₇.

It is not a de Polignac number, because 86576049 - 2⁸ = 86575793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86575995 and 86576013.

It is not an unprimeable number, because it can be changed into a prime (86576449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21867 + ... + 25520.

It is an arithmetic number, because the mean of its divisors is an integer number (6160440).

Almost surely, 2^86576049 is an apocalyptic number.

It is an amenable number.

86576049 is a deficient number, since it is larger than the sum of its proper divisors (61274511).

86576049 is a wasteful number, since it uses less digits than its factorization.

86576049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47429 (or 47426 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 86576049 is about 9304.6251402192. The cubic root of 86576049 is about 442.3838400450.

It can be divided in two parts, 8657 and 6049, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 86576049 in words is "eighty-six million, five hundred seventy-six thousand, forty-nine".