85677480 has 192 divisors, whose sum is σ = 332424000. Its totient is φ = 19571328.

The previous prime is 85677439. The next prime is 85677491. The reversal of 85677480 is 8477658.

85677480 is a `hidden beast` number, since 8 + 567 + 7 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52111 + ... + 53729.

It is an arithmetic number, because the mean of its divisors is an integer number (1731375).

Almost surely, 2^85677480 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 85677480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166212000).

85677480 is an abundant number, since it is smaller than the sum of its proper divisors (246746520).

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

85677480 is a wasteful number, since it uses less digits than its factorization.

85677480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85677480 is about 9256.2130485420. The cubic root of 85677480 is about 440.8480201923.

The spelling of 85677480 in words is "eighty-five million, six hundred seventy-seven thousand, four hundred eighty".