67274640 has 120 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 17816832.

The previous prime is 67274639. The next prime is 67274671. The reversal of 67274640 is 4647276.

67274640 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 67274595 and 67274604.

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, 160351 + ... + 160769.

It is an arithmetic number, because the mean of its divisors is an integer number (1895712).

Almost surely, 2^67274640 is an apocalyptic number.

67274640 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 67274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

67274640 is an abundant number, since it is smaller than the sum of its proper divisors (160210800).

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

67274640 is a wasteful number, since it uses less digits than its factorization.

67274640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 67274640 is about 8202.1119231574. Note that the first 3 decimals coincide. The cubic root of 67274640 is about 406.7090104912.

The spelling of 67274640 in words is "sixty-seven million, two hundred seventy-four thousand, six hundred forty".