86978766 has 64 divisors (see below), whose sum is σ = 215474688. Its totient is φ = 22837248.

The previous prime is 86978761. The next prime is 86978807. The reversal of 86978766 is 66787968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86978761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29286 + ... + 32118.

It is an arithmetic number, because the mean of its divisors is an integer number (3366792).

Almost surely, 2^86978766 is an apocalyptic number.

86978766 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 86978766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107737344).

86978766 is an abundant number, since it is smaller than the sum of its proper divisors (128495922).

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

86978766 is a wasteful number, since it uses less digits than its factorization.

86978766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905.

The product of its digits is 6096384, while the sum is 57.

The square root of 86978766 is about 9326.2407217485. The cubic root of 86978766 is about 443.0687098625.

The spelling of 86978766 in words is "eighty-six million, nine hundred seventy-eight thousand, seven hundred sixty-six".