42612768 has 72 divisors (see below), whose sum is σ = 132206256. Its totient is φ = 12912000.

The previous prime is 42612749. The next prime is 42612769. The reversal of 42612768 is 86721624.

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 not an unprimeable number, because it can be changed into a prime (42612769) 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, 3558 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (1836198).

Almost surely, 2^42612768 is an apocalyptic number.

42612768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42612768 is an abundant number, since it is smaller than the sum of its proper divisors (89593488).

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

42612768 is a wasteful number, since it uses less digits than its factorization.

42612768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13478 (or 13467 counting only the distinct ones).

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

The square root of 42612768 is about 6527.8455864090. The cubic root of 42612768 is about 349.2849838232.

The spelling of 42612768 in words is "forty-two million, six hundred twelve thousand, seven hundred sixty-eight".