61906600 has 72 divisors (see below), whose sum is σ = 167458590. Its totient is φ = 21221760.

The previous prime is 61906583. The next prime is 61906633. The reversal of 61906600 is 660916.

It is a happy number.

61906600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 46867716 + 15038884 = 6846^2 + 3878^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6642 + ... + 12958.

Almost surely, 2^61906600 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 61906600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83729295).

61906600 is an abundant number, since it is smaller than the sum of its proper divisors (105551990).

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

61906600 is a wasteful number, since it uses less digits than its factorization.

61906600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6347 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 61906600 is about 7868.0747327412. The cubic root of 61906600 is about 395.5903153442.

The spelling of 61906600 in words is "sixty-one million, nine hundred six thousand, six hundred".