61001604 has 72 divisors (see below), whose sum is σ = 162373848. Its totient is φ = 19284480.

The previous prime is 61001599. The next prime is 61001617. The reversal of 61001604 is 40610016.

61001604 is a `hidden beast` number, since 61 + 0 + 0 + 1 + 604 = 666.

61001604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 161604 + 60840000 = 402^2 + 7800^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54054 + ... + 55170.

Almost surely, 2^61001604 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 61001604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81186924).

61001604 is an abundant number, since it is smaller than the sum of its proper divisors (101372244).

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

61001604 is a wasteful number, since it uses less digits than its factorization.

61001604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61001604 is about 7810.3523608093. The cubic root of 61001604 is about 393.6531686305.

The spelling of 61001604 in words is "sixty-one million, one thousand, six hundred four".