86435040 has 48 divisors (see below), whose sum is σ = 272271888. Its totient is φ = 23049216.

The previous prime is 86435039. The next prime is 86435077. The reversal of 86435040 is 4053468.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×86435040² = 14942032279603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86434989 and 86435007.

It is a congruent number.

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, 89557 + ... + 90516.

It is an arithmetic number, because the mean of its divisors is an integer number (5672331).

Almost surely, 2^86435040 is an apocalyptic number.

86435040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86435040 is an abundant number, since it is smaller than the sum of its proper divisors (185836848).

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

86435040 is a wasteful number, since it uses less digits than its factorization.

86435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180091 (or 180083 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 86435040 is about 9297.0446917287. The cubic root of 86435040 is about 442.1435349372.

The spelling of 86435040 in words is "eighty-six million, four hundred thirty-five thousand, forty".