86819460 has 96 divisors (see below), whose sum is σ = 299212032. Its totient is φ = 18316800.

The previous prime is 86819449. The next prime is 86819461. The reversal of 86819460 is 6491868.

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

It is not an unprimeable number, because it can be changed into a prime (86819461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2491 + ... + 13410.

It is an arithmetic number, because the mean of its divisors is an integer number (3116792).

Almost surely, 2^86819460 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 86819460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149606016).

86819460 is an abundant number, since it is smaller than the sum of its proper divisors (212392572).

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

86819460 is a wasteful number, since it uses less digits than its factorization.

86819460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15933 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86819460 is about 9317.6960671617. The cubic root of 86819460 is about 442.7980436472.

The spelling of 86819460 in words is "eighty-six million, eight hundred nineteen thousand, four hundred sixty".