61889240 has 64 divisors (see below), whose sum is σ = 161568000. Its totient is φ = 20896128.

The previous prime is 61889239. The next prime is 61889257. The reversal of 61889240 is 4298816.

61889240 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-4 number, since 4×61889240⁴ (a number of 32 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61889194 and 61889203.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17111 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2^61889240 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 61889240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80784000).

61889240 is an abundant number, since it is smaller than the sum of its proper divisors (99678760).

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

61889240 is a wasteful number, since it uses less digits than its factorization.

61889240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 61889240 is about 7866.9714630218. The cubic root of 61889240 is about 395.5533344197.

The spelling of 61889240 in words is "sixty-one million, eight hundred eighty-nine thousand, two hundred forty".