86981240 has 64 divisors (see below), whose sum is σ = 207424800. Its totient is φ = 32735232.

The previous prime is 86981233. The next prime is 86981269. The reversal of 86981240 is 4218968.

It is a super-3 number, since 3×86981240³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 86981194 and 86981203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146384 + ... + 146976.

Almost surely, 2^86981240 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 86981240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103712400).

86981240 is an abundant number, since it is smaller than the sum of its proper divisors (120443560).

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

86981240 is a wasteful number, since it uses less digits than its factorization.

86981240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 86981240 is about 9326.3733573131. The cubic root of 86981240 is about 443.0729106640.

The spelling of 86981240 in words is "eighty-six million, nine hundred eighty-one thousand, two hundred forty".