62742240 has 288 divisors, whose sum is σ = 248373216. Its totient is φ = 14254080.

The previous prime is 62742187. The next prime is 62742247. The reversal of 62742240 is 4224726.

It is a happy number.

It is a Cunningham number, because it is equal to 89⁴-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62742247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269164 + ... + 269396.

It is an arithmetic number, because the mean of its divisors is an integer number (862407).

Almost surely, 2^62742240 is an apocalyptic number.

62742240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124186608).

62742240 is an abundant number, since it is smaller than the sum of its proper divisors (185630976).

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

62742240 is a wasteful number, since it uses less digits than its factorization.

62742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 62742240 is about 7920.9999368767. Note that the first 4 decimals coincide. The cubic root of 62742240 is about 397.3623113959.

Adding to 62742240 its reverse (4224726), we get a palindrome (66966966).

The spelling of 62742240 in words is "sixty-two million, seven hundred forty-two thousand, two hundred forty".