85401540 has 240 divisors, whose sum is σ = 324922752. Its totient is φ = 18330624.

The previous prime is 85401539. The next prime is 85401541. The reversal of 85401540 is 4510458.

85401540 is a `hidden beast` number, since 85 + 40 + 1 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (85401539) and next prime (85401541).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85401541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192559 + ... + 193001.

Almost surely, 2^85401540 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 85401540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162461376).

85401540 is an abundant number, since it is smaller than the sum of its proper divisors (239521212).

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

85401540 is a wasteful number, since it uses less digits than its factorization.

85401540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85401540 is about 9241.2953637464. The cubic root of 85401540 is about 440.3742339535.

Adding to 85401540 its reverse (4510458), we get a palindrome (89911998).

The spelling of 85401540 in words is "eighty-five million, four hundred one thousand, five hundred forty".