67213800 has 168 divisors, whose sum is σ = 234809190. Its totient is φ = 17884800.

The previous prime is 67213799. The next prime is 67213829. The reversal of 67213800 is 831276.

It can be written as a sum of positive squares in 3 ways, for example, as 44116164 + 23097636 = 6642^2 + 4806^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145570 + ... + 146030.

Almost surely, 2^67213800 is an apocalyptic number.

67213800 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 67213800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117404595).

67213800 is an abundant number, since it is smaller than the sum of its proper divisors (167595390).

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

67213800 is a wasteful number, since it uses less digits than its factorization.

67213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67213800 is about 8198.4022833720. The cubic root of 67213800 is about 406.5863707214.

The spelling of 67213800 in words is "sixty-seven million, two hundred thirteen thousand, eight hundred".