86769408 has 72 divisors (see below), whose sum is σ = 251951616. Its totient is φ = 26291200.

The previous prime is 86769391. The next prime is 86769437. The reversal of 86769408 is 80496768.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3313 + ... + 13583.

It is an arithmetic number, because the mean of its divisors is an integer number (3499328).

Almost surely, 2^86769408 is an apocalyptic number.

86769408 is a gapful number since it is divisible by the number (88) 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 86769408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125975808).

86769408 is an abundant number, since it is smaller than the sum of its proper divisors (165182208).

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

86769408 is a wasteful number, since it uses less digits than its factorization.

86769408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10301 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 86769408 is about 9315.0098228612. The cubic root of 86769408 is about 442.7129352776.

The spelling of 86769408 in words is "eighty-six million, seven hundred sixty-nine thousand, four hundred eight".