61923168 has 72 divisors (see below), whose sum is σ = 177585408. Its totient is φ = 20466432.

The previous prime is 61923167. The next prime is 61923181. The reversal of 61923168 is 86132916.

61923168 is a `hidden beast` number, since 619 + 2 + 31 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (61923167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35730 + ... + 37422.

It is an arithmetic number, because the mean of its divisors is an integer number (2466464).

Almost surely, 2^61923168 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 61923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792704).

61923168 is an abundant number, since it is smaller than the sum of its proper divisors (115662240).

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

61923168 is a wasteful number, since it uses less digits than its factorization.

61923168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1825 counting only the distinct ones).

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

The square root of 61923168 is about 7869.1275247006. The cubic root of 61923168 is about 395.6256026735.

The spelling of 61923168 in words is "sixty-one million, nine hundred twenty-three thousand, one hundred sixty-eight".