61007004 has 36 divisors (see below), whose sum is σ = 154736400. Its totient is φ = 20266560.

The previous prime is 61006949. The next prime is 61007027. The reversal of 61007004 is 40070016.

61007004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8472 + ... + 13920.

Almost surely, 2^61007004 is an apocalyptic number.

It is an amenable number.

61007004 is an abundant number, since it is smaller than the sum of its proper divisors (93729396).

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

61007004 is a wasteful number, since it uses less digits than its factorization.

61007004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61007004 is about 7810.6980481901. The cubic root of 61007004 is about 393.6647839775.

The spelling of 61007004 in words is "sixty-one million, seven thousand, four".