61798968 has 192 divisors, whose sum is σ = 212958720. Its totient is φ = 15724800.

The previous prime is 61798949. The next prime is 61798973. The reversal of 61798968 is 86989716.

It is a super-2 number, since 2×61798968² = 7638224891730048, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 393546 + ... + 393702.

It is an arithmetic number, because the mean of its divisors is an integer number (1109160).

Almost surely, 2^61798968 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 61798968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106479360).

61798968 is an abundant number, since it is smaller than the sum of its proper divisors (151159752).

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

61798968 is a wasteful number, since it uses less digits than its factorization.

61798968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 61798968 is about 7861.2319645206. The cubic root of 61798968 is about 395.3609220516.

The spelling of 61798968 in words is "sixty-one million, seven hundred ninety-eight thousand, nine hundred sixty-eight".