67812480 has 192 divisors, whose sum is σ = 239236920. Its totient is φ = 17694720.

The previous prime is 67812431. The next prime is 67812491. The reversal of 67812480 is 8421876.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 41679936 = 5112^2 + 6456^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351264 + ... + 351456.

Almost surely, 2^67812480 is an apocalyptic number.

67812480 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 67812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119618460).

67812480 is an abundant number, since it is smaller than the sum of its proper divisors (171424440).

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

67812480 is a wasteful number, since it uses less digits than its factorization.

67812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 67812480 is about 8234.8333316467. The cubic root of 67812480 is about 407.7899726403.

It can be divided in two parts, 6781 and 2480, that added together give a cube (9261 = 21³).

The spelling of 67812480 in words is "sixty-seven million, eight hundred twelve thousand, four hundred eighty".