86733768 has 48 divisors (see below), whose sum is σ = 238346640. Its totient is φ = 26282080.

The previous prime is 86733763. The next prime is 86733791.

86733768 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86733768² = 15045493022955648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86733763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12030 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (4965555).

Almost surely, 2^86733768 is an apocalyptic number.

86733768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86733768 is an abundant number, since it is smaller than the sum of its proper divisors (151612872).

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

86733768 is a wasteful number, since it uses less digits than its factorization.

86733768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29898 (or 29883 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 86733768 is about 9313.0965849174. The cubic root of 86733768 is about 442.6523131061.

The spelling of 86733768 in words is "eighty-six million, seven hundred thirty-three thousand, seven hundred sixty-eight".