74880624 has 240 divisors, whose sum is σ = 253317120. Its totient is φ = 18869760.

The previous prime is 74880613. The next prime is 74880671. The reversal of 74880624 is 42608847.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947817 + ... + 947895.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 2^74880624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74880624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658560).

74880624 is an abundant number, since it is smaller than the sum of its proper divisors (178436496).

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

74880624 is a wasteful number, since it uses less digits than its factorization.

74880624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 74880624 is about 8653.3591165512. The cubic root of 74880624 is about 421.4924680178.

The spelling of 74880624 in words is "seventy-four million, eight hundred eighty thousand, six hundred twenty-four".