61224540 has 96 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 14776320.

The previous prime is 61224523. The next prime is 61224587. The reversal of 61224540 is 4542216.

It is a super-3 number, since 3×61224540³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61224540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40600 + ... + 42080.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2^61224540 is an apocalyptic number.

61224540 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 61224540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

61224540 is an abundant number, since it is smaller than the sum of its proper divisors (127001316).

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

61224540 is a wasteful number, since it uses less digits than its factorization.

61224540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 61224540 is about 7824.6111724481. The cubic root of 61224540 is about 394.1321329267.

Adding to 61224540 its reverse (4542216), we get a palindrome (65766756).

It can be divided in two parts, 612 and 24540, that added together give a palindrome (25152).

The spelling of 61224540 in words is "sixty-one million, two hundred twenty-four thousand, five hundred forty".