85595040 has 72 divisors (see below), whose sum is σ = 292097988. Its totient is φ = 22824960.

The previous prime is 85595033. The next prime is 85595047. The reversal of 85595040 is 4059558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85595033) and next prime (85595047).

It can be written as a sum of positive squares in 2 ways, for example, as 77369616 + 8225424 = 8796^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85594986 and 85595004.

It is not an unprimeable number, because it can be changed into a prime (85595047) 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, 28281 + ... + 31160.

Almost surely, 2^85595040 is an apocalyptic number.

85595040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85595040 is an abundant number, since it is smaller than the sum of its proper divisors (206502948).

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

85595040 is a wasteful number, since it uses less digits than its factorization.

85595040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59462 (or 59451 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85595040 is about 9251.7587517185. The cubic root of 85595040 is about 440.7065782258.

The spelling of 85595040 in words is "eighty-five million, five hundred ninety-five thousand, forty".