74506068 has 270 divisors, whose sum is σ = 257520186. Its totient is φ = 18615744.

The previous prime is 74506037. The next prime is 74506079. The reversal of 74506068 is 86060547.

74506068 = 57³ + 58³ + ... + 132³.

It is a happy number.

74506068 is a `hidden beast` number, since 7 + 45 + 0 + 606 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51581124 + 22924944 = 7182^2 + 4788^2 .

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 89 ways as a sum of consecutive naturals, for example, 3921363 + ... + 3921381.

Almost surely, 2^74506068 is an apocalyptic number.

74506068 is a gapful number since it is divisible by the number (78) 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 74506068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128760093).

74506068 is an abundant number, since it is smaller than the sum of its proper divisors (183014118).

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

74506068 is a wasteful number, since it uses less digits than its factorization.

74506068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 74506068 is about 8631.6897534608. The cubic root of 74506068 is about 420.7885186885.

The spelling of 74506068 in words is "seventy-four million, five hundred six thousand, sixty-eight".