67814040 has 192 divisors, whose sum is σ = 249523200. Its totient is φ = 14660352.

The previous prime is 67814027. The next prime is 67814057. The reversal of 67814040 is 4041876.

It is a super-2 number, since 2×67814040² = 9197488042243200, which contains 22 as substring.

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 = 67813989 and 67814007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111417 + ... + 112023.

It is an arithmetic number, because the mean of its divisors is an integer number (1299600).

Almost surely, 2^67814040 is an apocalyptic number.

67814040 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 67814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124761600).

67814040 is an abundant number, since it is smaller than the sum of its proper divisors (181709160).

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

67814040 is a wasteful number, since it uses less digits than its factorization.

67814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 67814040 is about 8234.9280506875. The cubic root of 67814040 is about 407.7930996335.

The spelling of 67814040 in words is "sixty-seven million, eight hundred fourteen thousand, forty".