86257040 has 40 divisors (see below), whose sum is σ = 201019128. Its totient is φ = 34421760.

The previous prime is 86257037. The next prime is 86257051. The reversal of 86257040 is 4075268.

It can be written as a sum of positive squares in 4 ways, for example, as 12503296 + 73753744 = 3536^2 + 8588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 86256988 and 86257006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42284 + ... + 44276.

Almost surely, 2^86257040 is an apocalyptic number.

86257040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86257040 is an abundant number, since it is smaller than the sum of its proper divisors (114762088).

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

86257040 is a wasteful number, since it uses less digits than its factorization.

86257040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 86257040 is about 9287.4668236285. The cubic root of 86257040 is about 441.8398169243.

The spelling of 86257040 in words is "eighty-six million, two hundred fifty-seven thousand, forty".