86791950 has 144 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 19460160.

The previous prime is 86791937. The next prime is 86791951. The reversal of 86791950 is 5919768.

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

It is a junction number, because it is equal to n+sod(n) for n = 86791896 and 86791905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86791951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185617 + ... + 186083.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^86791950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86791950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

86791950 is an abundant number, since it is smaller than the sum of its proper divisors (184797810).

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

86791950 is a wasteful number, since it uses less digits than its factorization.

86791950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 86791950 is about 9316.2197269064. The cubic root of 86791950 is about 442.7512697211.

The spelling of 86791950 in words is "eighty-six million, seven hundred ninety-one thousand, nine hundred fifty".