67920240 has 40 divisors (see below), whose sum is σ = 210553488. Its totient is φ = 18112000.

The previous prime is 67920239. The next prime is 67920257. The reversal of 67920240 is 4202976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×67920240² = 9226318003315200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67920198 and 67920207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141261 + ... + 141740.

Almost surely, 2^67920240 is an apocalyptic number.

67920240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67920240 is an abundant number, since it is smaller than the sum of its proper divisors (142633248).

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

67920240 is a wasteful number, since it uses less digits than its factorization.

67920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283017 (or 283011 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 67920240 is about 8241.3736719069. The cubic root of 67920240 is about 408.0058630453.

The spelling of 67920240 in words is "sixty-seven million, nine hundred twenty thousand, two hundred forty".