61465600 has 165 divisors, whose sum is σ = 177743057. Its totient is φ = 21073920.

The previous prime is 61465597. The next prime is 61465603. The reversal of 61465600 is 656416.

The square root of 61465600 is 7840.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (61465597) and next prime (61465603).

It can be written as a sum of positive squares in only one way, i.e., 22127616 + 39337984 = 4704^2 + 6272^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61465603) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8780797 + ... + 8780803.

Almost surely, 2^61465600 is an apocalyptic number.

61465600 is the 7840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61465600

61465600 is an abundant number, since it is smaller than the sum of its proper divisors (116277457).

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

61465600 is an frugal number, since it uses more digits than its factorization.

61465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 61465600 is about 394.6487289956.

The spelling of 61465600 in words is "sixty-one million, four hundred sixty-five thousand, six hundred".