86992640 has 216 divisors, whose sum is σ = 258647760. Its totient is φ = 27869184.

The previous prime is 86992597. The next prime is 86992643. The reversal of 86992640 is 4629968.

It is a junction number, because it is equal to n+sod(n) for n = 86992591 and 86992600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86992643) 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, 1191644 + ... + 1191716.

Almost surely, 2^86992640 is an apocalyptic number.

86992640 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 86992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129323880).

86992640 is an abundant number, since it is smaller than the sum of its proper divisors (171655120).

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

86992640 is a wasteful number, since it uses less digits than its factorization.

86992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 86992640 is about 9326.9845073314. The cubic root of 86992640 is about 443.0922666022.

The spelling of 86992640 in words is "eighty-six million, nine hundred ninety-two thousand, six hundred forty".