86073760 has 48 divisors (see below), whose sum is σ = 208324872. Its totient is φ = 33587200.

The previous prime is 86073733. The next prime is 86073787. The reversal of 86073760 is 6737068.

86073760 is a nontrivial binomial coefficient, being equal to C(13121, 2).

It is an interprime number because it is at equal distance from previous prime (86073733) and next prime (86073787).

It can be written as a sum of positive squares in 4 ways, for example, as 29463184 + 56610576 = 5428^2 + 7524^2 .

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, 1 + ... + 13120.

Almost surely, 2^86073760 is an apocalyptic number.

86073760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86073760 is the 13120-th triangular number.

86073760 is the 4374-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104162436).

86073760 is an abundant number, since it is smaller than the sum of its proper divisors (122251112).

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

86073760 is a wasteful number, since it uses less digits than its factorization.

86073760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13177 (or 13169 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 86073760 is about 9277.5945158214. The cubic root of 86073760 is about 441.5266528220.

The spelling of 86073760 in words is "eighty-six million, seventy-three thousand, seven hundred sixty".