61474720 has 96 divisors (see below), whose sum is σ = 156029328. Its totient is φ = 22806528.

The previous prime is 61474691. The next prime is 61474727. The reversal of 61474720 is 2747416.

It can be written as a sum of positive squares in 8 ways, for example, as 24167056 + 37307664 = 4916^2 + 6108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61474727) 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 15 ways as a sum of consecutive naturals, for example, 263724 + ... + 263956.

Almost surely, 2^61474720 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 61474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78014664).

61474720 is an abundant number, since it is smaller than the sum of its proper divisors (94554608).

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

61474720 is a wasteful number, since it uses less digits than its factorization.

61474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 61474720 is about 7840.5816110796. The cubic root of 61474720 is about 394.6682467878.

The spelling of 61474720 in words is "sixty-one million, four hundred seventy-four thousand, seven hundred twenty".