61241832 has 56 divisors (see below), whose sum is σ = 172180290. Its totient is φ = 20412000.

The previous prime is 61241783. The next prime is 61241839. The reversal of 61241832 is 23814216.

61241832 is a `hidden beast` number, since 612 + 4 + 18 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56340036 + 4901796 = 7506^2 + 2214^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 61241796 and 61241805.

It is not an unprimeable number, because it can be changed into a prime (61241839) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 582 + ... + 11082.

Almost surely, 2^61241832 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 61241832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86090145).

61241832 is an abundant number, since it is smaller than the sum of its proper divisors (110938458).

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

61241832 is a wasteful number, since it uses less digits than its factorization.

61241832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10506 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 61241832 is about 7825.7160694725. The cubic root of 61241832 is about 394.1692351045.

The spelling of 61241832 in words is "sixty-one million, two hundred forty-one thousand, eight hundred thirty-two".