61505600 has 84 divisors (see below), whose sum is σ = 163039044. Its totient is φ = 22702080.

The previous prime is 61505579. The next prime is 61505621. The reversal of 61505600 is 650516.

It is an interprime number because it is at equal distance from previous prime (61505579) and next prime (61505621).

It can be written as a sum of positive squares in 6 ways, for example, as 14500864 + 47004736 = 3808^2 + 6856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19322 + ... + 22278.

It is an arithmetic number, because the mean of its divisors is an integer number (1940941).

Almost surely, 2^61505600 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 61505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81519522).

61505600 is an abundant number, since it is smaller than the sum of its proper divisors (101533444).

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

61505600 is a wasteful number, since it uses less digits than its factorization.

61505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 61505600 is about 7842.5506055109. The cubic root of 61505600 is about 394.7343190170.

The spelling of 61505600 in words is "sixty-one million, five hundred five thousand, six hundred".