61949888 has 112 divisors (see below), whose sum is σ = 165225984. Its totient is φ = 22256640.

The previous prime is 61949821. The next prime is 61949891. The reversal of 61949888 is 88894916.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63581 + ... + 64547.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 2^61949888 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 61949888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82612992).

61949888 is an abundant number, since it is smaller than the sum of its proper divisors (103276096).

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

61949888 is a wasteful number, since it uses less digits than its factorization.

61949888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 1000 counting only the distinct ones).

The product of its digits is 995328, while the sum is 53.

The square root of 61949888 is about 7870.8251155771. The cubic root of 61949888 is about 395.6824989657.

It can be divided in two parts, 61 and 949888, that added together give a palindrome (949949).

The spelling of 61949888 in words is "sixty-one million, nine hundred forty-nine thousand, eight hundred eighty-eight".