85462740 has 144 divisors (see below), whose sum is σ = 299557440. Its totient is φ = 19491840.

The previous prime is 85462709. The next prime is 85462747. The reversal of 85462740 is 4726458.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85462695 and 85462704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85462747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32391 + ... + 34929.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^85462740 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 85462740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

85462740 is an abundant number, since it is smaller than the sum of its proper divisors (214094700).

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

85462740 is a wasteful number, since it uses less digits than its factorization.

85462740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 85462740 is about 9244.6059948491. The cubic root of 85462740 is about 440.4794017209.

The spelling of 85462740 in words is "eighty-five million, four hundred sixty-two thousand, seven hundred forty".