86581404 has 216 divisors, whose sum is σ = 287763840. Its totient is φ = 21430656.

The previous prime is 86581399. The next prime is 86581427. The reversal of 86581404 is 40418568.

It is a super-2 number, since 2×86581404² = 14992679037222432, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 809119 + ... + 809225.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 2^86581404 is an apocalyptic number.

86581404 is a gapful number since it is divisible by the number (84) 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 86581404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143881920).

86581404 is an abundant number, since it is smaller than the sum of its proper divisors (201182436).

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

86581404 is a wasteful number, since it uses less digits than its factorization.

86581404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86581404 is about 9304.9128958846. The cubic root of 86581404 is about 442.3929607993.

The spelling of 86581404 in words is "eighty-six million, five hundred eighty-one thousand, four hundred four".