86478840 has 384 divisors, whose sum is σ = 352235520. Its totient is φ = 18662400.

The previous prime is 86478839. The next prime is 86478869. The reversal of 86478840 is 4887468.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109220 + ... + 2109260.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^86478840 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 86478840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

86478840 is an abundant number, since it is smaller than the sum of its proper divisors (265756680).

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

86478840 is a wasteful number, since it uses less digits than its factorization.

86478840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 86478840 is about 9299.3999806439. The cubic root of 86478840 is about 442.2182061068.

The spelling of 86478840 in words is "eighty-six million, four hundred seventy-eight thousand, eight hundred forty".