85415792 has 160 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 30412800.

The previous prime is 85415789. The next prime is 85415797. The reversal of 85415792 is 29751458.

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (100800) is a multiple of the sum of its prime factors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85415797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959684 + ... + 959772.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^85415792 is an apocalyptic number.

85415792 is a gapful number since it is divisible by the number (82) 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 85415792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

85415792 is an abundant number, since it is smaller than the sum of its proper divisors (139569808).

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

85415792 is a wasteful number, since it uses less digits than its factorization.

85415792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 85415792 is about 9242.0664355976. The cubic root of 85415792 is about 440.3987294700.

The spelling of 85415792 in words is "eighty-five million, four hundred fifteen thousand, seven hundred ninety-two".