61065700 has 54 divisors (see below), whose sum is σ = 140832566. Its totient is φ = 22978560.

The previous prime is 61065679. The next prime is 61065701. The reversal of 61065700 is 756016.

It can be written as a sum of positive squares in 9 ways, for example, as 20412324 + 40653376 = 4518^2 + 6376^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61065701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27844 + ... + 29956.

Almost surely, 2^61065700 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 61065700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70416283).

61065700 is an abundant number, since it is smaller than the sum of its proper divisors (79766866).

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

61065700 is a wasteful number, since it uses less digits than its factorization.

61065700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 61065700 is about 7814.4545555016. The cubic root of 61065700 is about 393.7909943041.

The spelling of 61065700 in words is "sixty-one million, sixty-five thousand, seven hundred".