61820600 has 48 divisors (see below), whose sum is σ = 145176720. Its totient is φ = 24480000.

The previous prime is 61820593. The next prime is 61820609. The reversal of 61820600 is 602816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61820609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19100 + ... + 22100.

It is an arithmetic number, because the mean of its divisors is an integer number (3024515).

Almost surely, 2^61820600 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 61820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72588360).

61820600 is an abundant number, since it is smaller than the sum of its proper divisors (83356120).

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

61820600 is a wasteful number, since it uses less digits than its factorization.

61820600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 61820600 is about 7862.6077099141. The cubic root of 61820600 is about 395.4070471463.

The spelling of 61820600 in words is "sixty-one million, eight hundred twenty thousand, six hundred".