85654842 has 96 divisors (see below), whose sum is σ = 218256192. Its totient is φ = 22208256.

The previous prime is 85654841. The next prime is 85654861. The reversal of 85654842 is 24845658.

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

It is a junction number, because it is equal to n+sod(n) for n = 85654794 and 85654803.

It is not an unprimeable number, because it can be changed into a prime (85654841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278853 + ... + 279159.

It is an arithmetic number, because the mean of its divisors is an integer number (2273502).

Almost surely, 2^85654842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85654842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109128096).

85654842 is an abundant number, since it is smaller than the sum of its proper divisors (132601350).

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

85654842 is a wasteful number, since it uses less digits than its factorization.

85654842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 85654842 is about 9254.9901134469. The cubic root of 85654842 is about 440.8091893093.

The spelling of 85654842 in words is "eighty-five million, six hundred fifty-four thousand, eight hundred forty-two".