61241824 has 48 divisors (see below), whose sum is σ = 143797248. Its totient is φ = 25103232.

The previous prime is 61241783. The next prime is 61241839. The reversal of 61241824 is 42814216.

It is a super-2 number, since 2×61241824² = 7501122013693952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 61241792 and 61241801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792 + ... + 11095.

It is an arithmetic number, because the mean of its divisors is an integer number (2995776).

Almost surely, 2^61241824 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 61241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71898624).

61241824 is an abundant number, since it is smaller than the sum of its proper divisors (82555424).

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

61241824 is a wasteful number, since it uses less digits than its factorization.

61241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11919 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 61241824 is about 7825.7155583371. The cubic root of 61241824 is about 394.1692179411.

It can be divided in two parts, 612 and 41824, that added together give a square (42436 = 206²).

The spelling of 61241824 in words is "sixty-one million, two hundred forty-one thousand, eight hundred twenty-four".