61888896 has 96 divisors (see below), whose sum is σ = 183942720. Its totient is φ = 19952640.

The previous prime is 61888877. The next prime is 61888919. The reversal of 61888896 is 69888816.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34846 + ... + 36578.

It is an arithmetic number, because the mean of its divisors is an integer number (1916070).

Almost surely, 2^61888896 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 61888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91971360).

61888896 is an abundant number, since it is smaller than the sum of its proper divisors (122053824).

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

61888896 is a wasteful number, since it uses less digits than its factorization.

61888896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1769 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 61888896 is about 7866.9495994318. The cubic root of 61888896 is about 395.5526015481.

The spelling of 61888896 in words is "sixty-one million, eight hundred eighty-eight thousand, eight hundred ninety-six".