85697640 has 192 divisors, whose sum is σ = 328872960. Its totient is φ = 18938880.

The previous prime is 85697627. The next prime is 85697641. The reversal of 85697640 is 4679658.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85697641) 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, 77572 + ... + 78668.

It is an arithmetic number, because the mean of its divisors is an integer number (1712880).

Almost surely, 2^85697640 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 85697640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164436480).

85697640 is an abundant number, since it is smaller than the sum of its proper divisors (243175320).

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

85697640 is a wasteful number, since it uses less digits than its factorization.

85697640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 85697640 is about 9257.3019827593. The cubic root of 85697640 is about 440.8825948129.

The spelling of 85697640 in words is "eighty-five million, six hundred ninety-seven thousand, six hundred forty".