61535376 has 360 divisors, whose sum is σ = 231547680. Its totient is φ = 15676416.

The previous prime is 61535363. The next prime is 61535381. The reversal of 61535376 is 67353516.

It is a happy number.

61535376 is a `hidden beast` number, since 615 + 3 + 5 + 37 + 6 = 666.

61535376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61535376² = 7573204998922752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61535376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238695 + ... + 3238713.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^61535376 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 61535376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

61535376 is an abundant number, since it is smaller than the sum of its proper divisors (170012304).

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

61535376 is a wasteful number, since it uses less digits than its factorization.

61535376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 61535376 is about 7844.4487378018. The cubic root of 61535376 is about 394.7980081384.

The spelling of 61535376 in words is "sixty-one million, five hundred thirty-five thousand, three hundred seventy-six".