61401824 has 96 divisors (see below), whose sum is σ = 144571392. Its totient is φ = 25344000.

The previous prime is 61401817. The next prime is 61401829. The reversal of 61401824 is 42810416.

61401824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61401793 and 61401802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61401829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185339 + ... + 185669.

It is an arithmetic number, because the mean of its divisors is an integer number (1505952).

Almost surely, 2^61401824 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 61401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72285696).

61401824 is an abundant number, since it is smaller than the sum of its proper divisors (83169568).

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

61401824 is a wasteful number, since it uses less digits than its factorization.

61401824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 61401824 is about 7835.9315974554. The cubic root of 61401824 is about 394.5121874319.

The spelling of 61401824 in words is "sixty-one million, four hundred one thousand, eight hundred twenty-four".