61627320 has 96 divisors (see below), whose sum is σ = 207230400. Its totient is φ = 15864576.

The previous prime is 61627309. The next prime is 61627331. The reversal of 61627320 is 2372616.

It is a happy number.

61627320 is a `hidden beast` number, since 6 + 1 + 627 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61627309) and next prime (61627331).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7489 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (2158650).

Almost surely, 2^61627320 is an apocalyptic number.

61627320 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 61627320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103615200).

61627320 is an abundant number, since it is smaller than the sum of its proper divisors (145603080).

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

61627320 is a wasteful number, since it uses less digits than its factorization.

61627320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5942 counting only the distinct ones).

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

The square root of 61627320 is about 7850.3070003663. The cubic root of 61627320 is about 394.9945413976.

Adding to 61627320 its reverse (2372616), we get a palindrome (63999936).

The spelling of 61627320 in words is "sixty-one million, six hundred twenty-seven thousand, three hundred twenty".