61768224 has 144 divisors (see below), whose sum is σ = 209714400. Its totient is φ = 17635968.

The previous prime is 61768219. The next prime is 61768243. The reversal of 61768224 is 42286716.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×61768224² = 7630626992228352, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41607 + ... + 43065.

It is an arithmetic number, because the mean of its divisors is an integer number (1456350).

Almost surely, 2^61768224 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 61768224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104857200).

61768224 is an abundant number, since it is smaller than the sum of its proper divisors (147946176).

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

61768224 is a wasteful number, since it uses less digits than its factorization.

61768224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1471 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 61768224 is about 7859.2763025612. The cubic root of 61768224 is about 395.2953492609.

It can be divided in two parts, 6176 and 8224, that added together give a square (14400 = 120²).

The spelling of 61768224 in words is "sixty-one million, seven hundred sixty-eight thousand, two hundred twenty-four".