85415040 has 128 divisors (see below), whose sum is σ = 302572800. Its totient is φ = 22772736.

The previous prime is 85415023. The next prime is 85415053. The reversal of 85415040 is 4051458.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85414995 and 85415013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14809 + ... + 19751.

It is an arithmetic number, because the mean of its divisors is an integer number (2363850).

Almost surely, 2^85415040 is an apocalyptic number.

85415040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151286400).

85415040 is an abundant number, since it is smaller than the sum of its proper divisors (217157760).

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

85415040 is a wasteful number, since it uses less digits than its factorization.

85415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85415040 is about 9242.0257519659. The cubic root of 85415040 is about 440.3974370438.

Adding to 85415040 its reverse (4051458), we get a palindrome (89466498).

The spelling of 85415040 in words is "eighty-five million, four hundred fifteen thousand, forty".