61606600 has 96 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 21824000.

The previous prime is 61606547. The next prime is 61606631. The reversal of 61606600 is 660616.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 89859 + ... + 90541.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815).

Almost surely, 2^61606600 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 61606600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

61606600 is an abundant number, since it is smaller than the sum of its proper divisors (98695640).

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

61606600 is a wasteful number, since it uses less digits than its factorization.

61606600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 61606600 is about 7848.9871958107. The cubic root of 61606600 is about 394.9502688018.

The spelling of 61606600 in words is "sixty-one million, six hundred six thousand, six hundred".