61213632 has 56 divisors (see below), whose sum is σ = 162836352. Its totient is φ = 20294400.

The previous prime is 61213631. The next prime is 61213661. The reversal of 61213632 is 23631216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (61213631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39757 + ... + 41267.

It is an arithmetic number, because the mean of its divisors is an integer number (2907792).

Almost surely, 2^61213632 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 61213632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81418176).

61213632 is an abundant number, since it is smaller than the sum of its proper divisors (101622720).

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

61213632 is a wasteful number, since it uses less digits than its factorization.

61213632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1727 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 61213632 is about 7823.9141099580. The cubic root of 61213632 is about 394.1087248366.

Adding to 61213632 its reverse (23631216), we get a palindrome (84844848).

The spelling of 61213632 in words is "sixty-one million, two hundred thirteen thousand, six hundred thirty-two".