61321968 has 160 divisors (see below), whose sum is σ = 192051200. Its totient is φ = 18662400.

The previous prime is 61321961. The next prime is 61321969. The reversal of 61321968 is 86912316.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61321961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254328 + ... + 254568.

It is an arithmetic number, because the mean of its divisors is an integer number (1200320).

Almost surely, 2^61321968 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 61321968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96025600).

61321968 is an abundant number, since it is smaller than the sum of its proper divisors (130729232).

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

61321968 is a wasteful number, since it uses less digits than its factorization.

61321968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61321968 is about 7830.8344382958. The cubic root of 61321968 is about 394.3410859313.

It can be divided in two parts, 6132 and 1968, that added together give a square (8100 = 90²).

The spelling of 61321968 in words is "sixty-one million, three hundred twenty-one thousand, nine hundred sixty-eight".