61465300 has 54 divisors (see below), whose sum is σ = 144468618. Its totient is φ = 22688640.

The previous prime is 61465291. The next prime is 61465301. The reversal of 61465300 is 356416.

It can be written as a sum of positive squares in 9 ways, for example, as 54819216 + 6646084 = 7404^2 + 2578^2 .

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 (61465301) 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, 15082 + ... + 18718.

Almost surely, 2^61465300 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 61465300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72234309).

61465300 is an abundant number, since it is smaller than the sum of its proper divisors (83003318).

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

61465300 is a wasteful number, since it uses less digits than its factorization.

61465300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 61465300 is about 7839.9808673236. The cubic root of 61465300 is about 394.6480869302.

The spelling of 61465300 in words is "sixty-one million, four hundred sixty-five thousand, three hundred".