67609920 has 112 divisors (see below), whose sum is σ = 245351808. Its totient is φ = 15452160.

The previous prime is 67609897. The next prime is 67609931. The reversal of 67609920 is 2990676.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×67609920² = 9142202564812800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690 + ... + 11750.

Almost surely, 2^67609920 is an apocalyptic number.

67609920 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 67609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122675904).

67609920 is an abundant number, since it is smaller than the sum of its proper divisors (177741888).

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

67609920 is a wasteful number, since it uses less digits than its factorization.

67609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 67609920 is about 8222.5251595845. The cubic root of 67609920 is about 407.3835365424.

The spelling of 67609920 in words is "sixty-seven million, six hundred nine thousand, nine hundred twenty".