86622480 has 320 divisors, whose sum is σ = 362119680. Its totient is φ = 18579456.

The previous prime is 86622479. The next prime is 86622493. The reversal of 86622480 is 8422668.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256872 + ... + 257208.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624).

Almost surely, 2^86622480 is an apocalyptic number.

86622480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840).

86622480 is an abundant number, since it is smaller than the sum of its proper divisors (275497200).

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

86622480 is a wasteful number, since it uses less digits than its factorization.

86622480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86622480 is about 9307.1198552506. The cubic root of 86622480 is about 442.4629098473.

The spelling of 86622480 in words is "eighty-six million, six hundred twenty-two thousand, four hundred eighty".