61971936 has 192 divisors, whose sum is σ = 195084288. Its totient is φ = 17031168.

The previous prime is 61971911. The next prime is 61971947. The reversal of 61971936 is 63917916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487905 + ... + 488031.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 2^61971936 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 61971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97542144).

61971936 is an abundant number, since it is smaller than the sum of its proper divisors (133112352).

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

61971936 is a wasteful number, since it uses less digits than its factorization.

61971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 61971936 is about 7872.2256065232. The cubic root of 61971936 is about 395.7294346060.

The spelling of 61971936 in words is "sixty-one million, nine hundred seventy-one thousand, nine hundred thirty-six".