85561476 has 192 divisors, whose sum is σ = 284497920. Its totient is φ = 19261440.

The previous prime is 85561447. The next prime is 85561477. The reversal of 85561476 is 67416558.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85561477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203995 + ... + 204413.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^85561476 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 85561476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

85561476 is an abundant number, since it is smaller than the sum of its proper divisors (198936444).

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

85561476 is a wasteful number, since it uses less digits than its factorization.

85561476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 85561476 is about 9249.9446484830. The cubic root of 85561476 is about 440.6489665954.

The spelling of 85561476 in words is "eighty-five million, five hundred sixty-one thousand, four hundred seventy-six".