61117632 has 112 divisors (see below), whose sum is σ = 181843680. Its totient is φ = 20127744.

The previous prime is 61117603. The next prime is 61117649. The reversal of 61117632 is 23671116.

61117632 is a `hidden beast` number, since 6 + 11 + 17 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61117596 and 61117605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195108 + ... + 195420.

Almost surely, 2^61117632 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 61117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90921840).

61117632 is an abundant number, since it is smaller than the sum of its proper divisors (120726048).

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

61117632 is a wasteful number, since it uses less digits than its factorization.

61117632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 61117632 is about 7817.7766660349. The cubic root of 61117632 is about 393.9025930110.

Adding to 61117632 its reverse (23671116), we get a palindrome (84788748).

The spelling of 61117632 in words is "sixty-one million, one hundred seventeen thousand, six hundred thirty-two".