61200540 has 72 divisors (see below), whose sum is σ = 187500768. Its totient is φ = 16156800.

The previous prime is 61200521. The next prime is 61200563. The reversal of 61200540 is 4500216.

It is a happy number.

61200540 is a `hidden beast` number, since 6 + 120 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16890 + ... + 20190.

Almost surely, 2^61200540 is an apocalyptic number.

61200540 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 61200540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93750384).

61200540 is an abundant number, since it is smaller than the sum of its proper divisors (126300228).

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

61200540 is a wasteful number, since it uses less digits than its factorization.

61200540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 61200540 is about 7823.0773995915. The cubic root of 61200540 is about 394.0806263061.

Adding to 61200540 its reverse (4500216), we get a palindrome (65700756).

The spelling of 61200540 in words is "sixty-one million, two hundred thousand, five hundred forty".