86829540 has 96 divisors (see below), whose sum is σ = 294223104. Its totient is φ = 18677760.

The previous prime is 86829527. The next prime is 86829553. The reversal of 86829540 is 4592868.

It is an interprime number because it is at equal distance from previous prime (86829527) and next prime (86829553).

It is a super-2 number, since 2×86829540² = 15078738033223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86829492 and 86829501.

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, 1060 + ... + 13220.

It is an arithmetic number, because the mean of its divisors is an integer number (3064824).

Almost surely, 2^86829540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86829540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147111552).

86829540 is an abundant number, since it is smaller than the sum of its proper divisors (207393564).

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

86829540 is a wasteful number, since it uses less digits than its factorization.

86829540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 86829540 is about 9318.2369577083. The cubic root of 86829540 is about 442.8151797115.

The spelling of 86829540 in words is "eighty-six million, eight hundred twenty-nine thousand, five hundred forty".