86762340 has 180 divisors, whose sum is σ = 316903356. Its totient is φ = 19813248.

The previous prime is 86762327. The next prime is 86762381. The reversal of 86762340 is 4326768.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 21734244 = 8064^2 + 4662^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86762295 and 86762304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78834 + ... + 79926.

Almost surely, 2^86762340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86762340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158451678).

86762340 is an abundant number, since it is smaller than the sum of its proper divisors (230141016).

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

86762340 is a wasteful number, since it uses less digits than its factorization.

86762340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 86762340 is about 9314.6304274512. The cubic root of 86762340 is about 442.7009142206.

The spelling of 86762340 in words is "eighty-six million, seven hundred sixty-two thousand, three hundred forty".