61888968 has 64 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 20502720.

The previous prime is 61888963. The next prime is 61888969. The reversal of 61888968 is 86988816.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (61888961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38305 + ... + 39887.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^61888968 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 61888968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

61888968 is an abundant number, since it is smaller than the sum of its proper divisors (111083832).

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

61888968 is a wasteful number, since it uses less digits than its factorization.

61888968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1769 counting only the distinct ones).

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

The square root of 61888968 is about 7866.9541755371. The cubic root of 61888968 is about 395.5527549400.

The spelling of 61888968 in words is "sixty-one million, eight hundred eighty-eight thousand, nine hundred sixty-eight".