61672320 has 256 divisors, whose sum is σ = 226195200. Its totient is φ = 15869952.

The previous prime is 61672313. The next prime is 61672367. The reversal of 61672320 is 2327616.

It is a happy number.

61672320 is a `hidden beast` number, since 616 + 7 + 23 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 742999 + ... + 743081.

It is an arithmetic number, because the mean of its divisors is an integer number (883575).

Almost surely, 2^61672320 is an apocalyptic number.

61672320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

61672320 is an abundant number, since it is smaller than the sum of its proper divisors (164522880).

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

61672320 is a wasteful number, since it uses less digits than its factorization.

61672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 61672320 is about 7853.1726072970. The cubic root of 61672320 is about 395.0906591030.

Adding to 61672320 its reverse (2327616), we get a palindrome (63999936).

The spelling of 61672320 in words is "sixty-one million, six hundred seventy-two thousand, three hundred twenty".