86747472 has 120 divisors (see below), whose sum is σ = 284356800. Its totient is φ = 24168960.

The previous prime is 86747411. The next prime is 86747473. The reversal of 86747472 is 27474768.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86747473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40279 + ... + 42377.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^86747472 is an apocalyptic number.

86747472 is a gapful number since it is divisible by the number (82) 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 86747472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

86747472 is an abundant number, since it is smaller than the sum of its proper divisors (197609328).

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

86747472 is a wasteful number, since it uses less digits than its factorization.

86747472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 86747472 is about 9313.8322939593. The cubic root of 86747472 is about 442.6756250102.

The spelling of 86747472 in words is "eighty-six million, seven hundred forty-seven thousand, four hundred seventy-two".