61121632 has 144 divisors (see below), whose sum is σ = 153235152. Its totient is φ = 23639040.

The previous prime is 61121569. The next prime is 61121663. The reversal of 61121632 is 23612116.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1651918 + ... + 1651954.

It is an arithmetic number, because the mean of its divisors is an integer number (1064133).

Almost surely, 2^61121632 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 61121632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76617576).

61121632 is an abundant number, since it is smaller than the sum of its proper divisors (92113520).

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

61121632 is a wasteful number, since it uses less digits than its factorization.

61121632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 61121632 is about 7818.0324890601. The cubic root of 61121632 is about 393.9111861450.

Adding to 61121632 its reverse (23612116), we get a palindrome (84733748).

It can be divided in two parts, 6112 and 1632, that added together give a square (7744 = 88²).

The spelling of 61121632 in words is "sixty-one million, one hundred twenty-one thousand, six hundred thirty-two".