59442768 has 160 divisors (see below), whose sum is σ = 212843520. Its totient is φ = 15431040.

The previous prime is 59442763. The next prime is 59442781. The reversal of 59442768 is 86724495.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59442763) 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, 32371 + ... + 34157.

It is an arithmetic number, because the mean of its divisors is an integer number (1330272).

Almost surely, 2^59442768 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 59442768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106421760).

59442768 is an abundant number, since it is smaller than the sum of its proper divisors (153400752).

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

59442768 is a wasteful number, since it uses less digits than its factorization.

59442768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1810 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 59442768 is about 7709.9136181931. The cubic root of 59442768 is about 390.2710541744.

It can be divided in two parts, 594427 and 68, that added together give a palindrome (594495).

The spelling of 59442768 in words is "fifty-nine million, four hundred forty-two thousand, seven hundred sixty-eight".