85420504 has 64 divisors (see below), whose sum is σ = 183456000. Its totient is φ = 36961920.

The previous prime is 85420493. The next prime is 85420513. The reversal of 85420504 is 40502458.

It is a super-4 number, since 4×85420504⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 274509 + ... + 274819.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^85420504 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 85420504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728000).

85420504 is an abundant number, since it is smaller than the sum of its proper divisors (98035496).

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

85420504 is a wasteful number, since it uses less digits than its factorization.

85420504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 85420504 is about 9242.3213534263. The cubic root of 85420504 is about 440.4068275847.

The spelling of 85420504 in words is "eighty-five million, four hundred twenty thousand, five hundred four".