61205760 has 576 divisors, whose sum is σ = 282562560. Its totient is φ = 12165120.

The previous prime is 61205741. The next prime is 61205779. The reversal of 61205760 is 6750216.

It is an interprime number because it is at equal distance from previous prime (61205741) and next prime (61205779).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×61205760² = 7492290114355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661109 + ... + 2661131.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 2^61205760 is an apocalyptic number.

61205760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

61205760 is an abundant number, since it is smaller than the sum of its proper divisors (221356800).

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

61205760 is a wasteful number, since it uses less digits than its factorization.

61205760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 61205760 is about 7823.4110207760. The cubic root of 61205760 is about 394.0918301418.

Adding to 61205760 its reverse (6750216), we get a palindrome (67955976).

The spelling of 61205760 in words is "sixty-one million, two hundred five thousand, seven hundred sixty".