71604600 has 96 divisors (see below), whose sum is σ = 223914240. Its totient is φ = 18928000.

The previous prime is 71604581. The next prime is 71604601. The reversal of 71604600 is 640617.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71604601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78145 + ... + 79055.

It is an arithmetic number, because the mean of its divisors is an integer number (2332440).

Almost surely, 2^71604600 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 71604600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111957120).

71604600 is an abundant number, since it is smaller than the sum of its proper divisors (152309640).

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

71604600 is a wasteful number, since it uses less digits than its factorization.

71604600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 71604600 is about 8461.9501298460. The cubic root of 71604600 is about 415.2538244974.

The spelling of 71604600 in words is "seventy-one million, six hundred four thousand, six hundred".