86377840 has 40 divisors (see below), whose sum is σ = 201915648. Its totient is φ = 34364160.

The previous prime is 86377831. The next prime is 86377843. The reversal of 86377840 is 4877368.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×86377840² = 14922262486131200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86377843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12454 + ... + 18106.

Almost surely, 2^86377840 is an apocalyptic number.

86377840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86377840 is an abundant number, since it is smaller than the sum of its proper divisors (115537808).

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

86377840 is a wasteful number, since it uses less digits than its factorization.

86377840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 86377840 is about 9293.9679362477. The cubic root of 86377840 is about 442.0459811708.

The spelling of 86377840 in words is "eighty-six million, three hundred seventy-seven thousand, eight hundred forty".