85760040 has 64 divisors (see below), whose sum is σ = 261662400. Its totient is φ = 22479872.

The previous prime is 85760039. The next prime is 85760041. The reversal of 85760040 is 4006758.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85760039) and next prime (85760041).

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

It is not an unprimeable number, because it can be changed into a prime (85760041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024 + ... + 13136.

It is an arithmetic number, because the mean of its divisors is an integer number (4088475).

Almost surely, 2^85760040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130831200).

85760040 is an abundant number, since it is smaller than the sum of its proper divisors (175902360).

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

85760040 is a wasteful number, since it uses less digits than its factorization.

85760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12186 (or 12182 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 85760040 is about 9260.6716819030. The cubic root of 85760040 is about 440.9895771417.

Adding to 85760040 its reverse (4006758), we get a palindrome (89766798).

The spelling of 85760040 in words is "eighty-five million, seven hundred sixty thousand, forty".