74634560 has 224 divisors, whose sum is σ = 239645952. Its totient is φ = 21381120.

The previous prime is 74634559. The next prime is 74634601. The reversal of 74634560 is 6543647.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 74634560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320204 + ... + 320436.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 2^74634560 is an apocalyptic number.

74634560 is a gapful number since it is divisible by the number (70) 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 74634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

74634560 is an abundant number, since it is smaller than the sum of its proper divisors (165011392).

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

74634560 is a wasteful number, since it uses less digits than its factorization.

74634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 74634560 is about 8639.1295857858. The cubic root of 74634560 is about 421.0302748656.

The spelling of 74634560 in words is "seventy-four million, six hundred thirty-four thousand, five hundred sixty".