86682570 has 64 divisors (see below), whose sum is σ = 228856320. Its totient is φ = 20878848.

The previous prime is 86682559. The next prime is 86682581. The reversal of 86682570 is 7528668.

It is an interprime number because it is at equal distance from previous prime (86682559) and next prime (86682581).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15966 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (3575880).

Almost surely, 2^86682570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86682570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114428160).

86682570 is an abundant number, since it is smaller than the sum of its proper divisors (142173750).

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

86682570 is a wasteful number, since it uses less digits than its factorization.

86682570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799.

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 86682570 is about 9310.3474693483. The cubic root of 86682570 is about 442.5651983474.

It can be divided in two parts, 866 and 82570, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 86682570 in words is "eighty-six million, six hundred eighty-two thousand, five hundred seventy".