61005240 has 96 divisors (see below), whose sum is σ = 200425680. Its totient is φ = 16091136.

The previous prime is 61005211. The next prime is 61005247. The reversal of 61005240 is 4250016.

It is a happy number.

61005240 is a `hidden beast` number, since 610 + 0 + 52 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61005247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34047 + ... + 35793.

Almost surely, 2^61005240 is an apocalyptic number.

61005240 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 61005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100212840).

61005240 is an abundant number, since it is smaller than the sum of its proper divisors (139420440).

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

61005240 is a wasteful number, since it uses less digits than its factorization.

61005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1854 counting only the distinct ones).

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

The square root of 61005240 is about 7810.5851253283. The cubic root of 61005240 is about 393.6609897062.

Adding to 61005240 its reverse (4250016), we get a palindrome (65255256).

The spelling of 61005240 in words is "sixty-one million, five thousand, two hundred forty".