85370040 has 192 divisors, whose sum is σ = 333964800. Its totient is φ = 18475776.

The previous prime is 85370029. The next prime is 85370041. The reversal of 85370040 is 4007358.

It is a junction number, because it is equal to n+sod(n) for n = 85369986 and 85370013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85370041) 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, 46989 + ... + 48771.

It is an arithmetic number, because the mean of its divisors is an integer number (1739400).

Almost surely, 2^85370040 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 85370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166982400).

85370040 is an abundant number, since it is smaller than the sum of its proper divisors (248594760).

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

85370040 is a wasteful number, since it uses less digits than its factorization.

85370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 85370040 is about 9239.5909000345. The cubic root of 85370040 is about 440.3200838986.

Adding to 85370040 its reverse (4007358), we get a palindrome (89377398).

The spelling of 85370040 in words is "eighty-five million, three hundred seventy thousand, forty".