61395936 has 96 divisors (see below), whose sum is σ = 185488128. Its totient is φ = 17418240.

The previous prime is 61395923. The next prime is 61395941. The reversal of 61395936 is 63959316.

61395936 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 141576 + ... + 142008.

It is an arithmetic number, because the mean of its divisors is an integer number (1932168).

Almost surely, 2^61395936 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 61395936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92744064).

61395936 is an abundant number, since it is smaller than the sum of its proper divisors (124092192).

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

61395936 is a wasteful number, since it uses less digits than its factorization.

61395936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its digits is 131220, while the sum is 42.

The square root of 61395936 is about 7835.5558832798. Note that the first 3 decimals coincide. The cubic root of 61395936 is about 394.4995767207.

The spelling of 61395936 in words is "sixty-one million, three hundred ninety-five thousand, nine hundred thirty-six".