85601408 has 16 divisors (see below), whose sum is σ = 170534310. Its totient is φ = 42800640.

The previous prime is 85601407. The next prime is 85601419. The reversal of 85601408 is 80410658.

It can be written as a sum of positive squares in only one way, i.e., 57638464 + 27962944 = 7592^2 + 5288^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (85601407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 334253 + ... + 334508.

Almost surely, 2^85601408 is an apocalyptic number.

It is an amenable number.

85601408 is a deficient number, since it is larger than the sum of its proper divisors (84932902).

85601408 is an equidigital number, since it uses as much as digits as its factorization.

85601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668775 (or 668763 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85601408 is about 9252.1028960988. The cubic root of 85601408 is about 440.7175070129.

The spelling of 85601408 in words is "eighty-five million, six hundred one thousand, four hundred eight".