61672620 has 48 divisors (see below), whose sum is σ = 174410208. Its totient is φ = 16281600.

The previous prime is 61672579. The next prime is 61672627. The reversal of 61672620 is 2627616.

61672620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61672627) 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, 972 + ... + 11148.

It is an arithmetic number, because the mean of its divisors is an integer number (3633546).

Almost surely, 2^61672620 is an apocalyptic number.

61672620 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 61672620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87205104).

61672620 is an abundant number, since it is smaller than the sum of its proper divisors (112737588).

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

61672620 is a wasteful number, since it uses less digits than its factorization.

61672620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 61672620 is about 7853.1917078345. The cubic root of 61672620 is about 395.0912997308.

The spelling of 61672620 in words is "sixty-one million, six hundred seventy-two thousand, six hundred twenty".