61936632 has 48 divisors (see below), whose sum is σ = 169884000. Its totient is φ = 20382336.

The previous prime is 61936621. The next prime is 61936639. The reversal of 61936632 is 23663916.

61936632 is a `hidden beast` number, since 6 + 19 + 3 + 6 + 632 = 666.

It is a super-2 number, since 2×61936632² = 7672292767006848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61936639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244 + ... + 11132.

It is an arithmetic number, because the mean of its divisors is an integer number (3539250).

Almost surely, 2^61936632 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 61936632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84942000).

61936632 is an abundant number, since it is smaller than the sum of its proper divisors (107947368).

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

61936632 is a wasteful number, since it uses less digits than its factorization.

61936632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10973 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 61936632 is about 7869.9829732980. The cubic root of 61936632 is about 395.6542743175.

The spelling of 61936632 in words is "sixty-one million, nine hundred thirty-six thousand, six hundred thirty-two".