61947936 has 48 divisors (see below), whose sum is σ = 180684000. Its totient is φ = 20649024.

The previous prime is 61947931. The next prime is 61947959. The reversal of 61947936 is 63974916.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 61947891 and 61947900.

It is not an unprimeable number, because it can be changed into a prime (61947931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34986 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (3764250).

Almost surely, 2^61947936 is an apocalyptic number.

It is an amenable number.

61947936 is an abundant number, since it is smaller than the sum of its proper divisors (118736064).

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

61947936 is a wasteful number, since it uses less digits than its factorization.

61947936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71718 (or 71704 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 61947936 is about 7870.7011123533. The cubic root of 61947936 is about 395.6783430241.

The spelling of 61947936 in words is "sixty-one million, nine hundred forty-seven thousand, nine hundred thirty-six".