61809552 has 120 divisors (see below), whose sum is σ = 209379456. Its totient is φ = 16616448.

The previous prime is 61809493. The next prime is 61809563. The reversal of 61809552 is 25590816.

It is a happy number.

61809552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 15333 + ... + 18939.

Almost surely, 2^61809552 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 61809552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104689728).

61809552 is an abundant number, since it is smaller than the sum of its proper divisors (147569904).

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

61809552 is a wasteful number, since it uses less digits than its factorization.

61809552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 61809552 is about 7861.9051126301. The cubic root of 61809552 is about 395.3834912587.

The spelling of 61809552 in words is "sixty-one million, eight hundred nine thousand, five hundred fifty-two".