85629601 has 8 divisors (see below), whose sum is σ = 87015680. Its totient is φ = 84251232.

The previous prime is 85629553. The next prime is 85629611. The reversal of 85629601 is 10692658.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85629601 - 2²³ = 77240993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85629611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22996 + ... + 26458.

It is an arithmetic number, because the mean of its divisors is an integer number (10876960).

Almost surely, 2^85629601 is an apocalyptic number.

It is an amenable number.

85629601 is a deficient number, since it is larger than the sum of its proper divisors (1386079).

85629601 is a wasteful number, since it uses less digits than its factorization.

85629601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 85629601 is about 9253.6263702399. The cubic root of 85629601 is about 440.7658854416.

The spelling of 85629601 in words is "eighty-five million, six hundred twenty-nine thousand, six hundred one".