61622500 has 45 divisors (see below), whose sum is σ = 135619869. Its totient is φ = 24492000.

The previous prime is 61622479. The next prime is 61622503. The reversal of 61622500 is 522616.

The square root of 61622500 is 7850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 56640676 + 4981824 = 7526^2 + 2232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61622503) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 392422 + ... + 392578.

Almost surely, 2^61622500 is an apocalyptic number.

61622500 is the 7850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61622500

61622500 is an abundant number, since it is smaller than the sum of its proper divisors (73997369).

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

61622500 is an equidigital number, since it uses as much as digits as its factorization.

61622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 61622500 is about 394.9842433495.

The spelling of 61622500 in words is "sixty-one million, six hundred twenty-two thousand, five hundred".