85470024 has 64 divisors (see below), whose sum is σ = 226391040. Its totient is φ = 26832960.

The previous prime is 85470019. The next prime is 85470029. The reversal of 85470024 is 42007458.

It is a Cunningham number, because it is equal to 9245²-1.

It is an interprime number because it is at equal distance from previous prime (85470019) and next prime (85470029).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85469973 and 85470000.

It is not an unprimeable number, because it can be changed into a prime (85470029) 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, 35829 + ... + 38139.

It is an arithmetic number, because the mean of its divisors is an integer number (3537360).

Almost surely, 2^85470024 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 85470024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113195520).

85470024 is an abundant number, since it is smaller than the sum of its proper divisors (140921016).

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

85470024 is a wasteful number, since it uses less digits than its factorization.

85470024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 85470024 is about 9244.9999459167. Note that the first 4 decimals coincide. The cubic root of 85470024 is about 440.4919154035.

The spelling of 85470024 in words is "eighty-five million, four hundred seventy thousand, twenty-four".