61536240 has 160 divisors (see below), whose sum is σ = 219033600. Its totient is φ = 15863040.

The previous prime is 61536239. The next prime is 61536253. The reversal of 61536240 is 4263516.

61536240 is a `hidden beast` number, since 615 + 3 + 6 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66501 + ... + 67419.

It is an arithmetic number, because the mean of its divisors is an integer number (1368960).

Almost surely, 2^61536240 is an apocalyptic number.

61536240 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 61536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109516800).

61536240 is an abundant number, since it is smaller than the sum of its proper divisors (157497360).

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

61536240 is a wasteful number, since it uses less digits than its factorization.

61536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61536240 is about 7844.5038083999. The cubic root of 61536240 is about 394.7998558771.

Adding to 61536240 its reverse (4263516), we get a palindrome (65799756).

It can be divided in two parts, 61536 and 240, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 61536240 in words is "sixty-one million, five hundred thirty-six thousand, two hundred forty".