86742240 has 96 divisors (see below), whose sum is σ = 294277536. Its totient is φ = 21350400.

The previous prime is 86742233. The next prime is 86742241. The reversal of 86742240 is 4224768.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86742241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711 + ... + 13190.

It is an arithmetic number, because the mean of its divisors is an integer number (3065391).

Almost surely, 2^86742240 is an apocalyptic number.

86742240 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 86742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147138768).

86742240 is an abundant number, since it is smaller than the sum of its proper divisors (207535296).

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

86742240 is a wasteful number, since it uses less digits than its factorization.

86742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 86742240 is about 9313.5514171555. The cubic root of 86742240 is about 442.6667251335. Note that the first 3 decimals are identical.

The spelling of 86742240 in words is "eighty-six million, seven hundred forty-two thousand, two hundred forty".