61506936 has 24 divisors (see below), whose sum is σ = 166581480. Its totient is φ = 20502288.

The previous prime is 61506931. The next prime is 61506959. The reversal of 61506936 is 63960516.

61506936 is a `hidden beast` number, since 61 + 506 + 93 + 6 = 666.

61506936 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 (24).

It is a super-2 number, since 2×61506936² = 7566206352216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61506936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61506931) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 427060 + ... + 427203.

It is an arithmetic number, because the mean of its divisors is an integer number (6940895).

Almost surely, 2^61506936 is an apocalyptic number.

It is an amenable number.

61506936 is an abundant number, since it is smaller than the sum of its proper divisors (105074544).

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

61506936 is a wasteful number, since it uses less digits than its factorization.

61506936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854275 (or 854268 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 61506936 is about 7842.6357814194. The cubic root of 61506936 is about 394.7371770832.

The spelling of 61506936 in words is "sixty-one million, five hundred six thousand, nine hundred thirty-six".