67622880 has 96 divisors (see below), whose sum is σ = 229418784. Its totient is φ = 16644096.

The previous prime is 67622861. The next prime is 67622887. The reversal of 67622880 is 8822676.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67622887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822 + ... + 11658.

It is an arithmetic number, because the mean of its divisors is an integer number (2389779).

Almost surely, 2^67622880 is an apocalyptic number.

67622880 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 67622880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114709392).

67622880 is an abundant number, since it is smaller than the sum of its proper divisors (161795904).

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

67622880 is a wasteful number, since it uses less digits than its factorization.

67622880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 67622880 is about 8223.3132008942. The cubic root of 67622880 is about 407.4095650370.

The spelling of 67622880 in words is "sixty-seven million, six hundred twenty-two thousand, eight hundred eighty".