74661600 has 144 divisors (see below), whose sum is σ = 261826992. Its totient is φ = 18370560.

The previous prime is 74661593. The next prime is 74661617. The reversal of 74661600 is 616647.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 30004 + ... + 32396.

It is an arithmetic number, because the mean of its divisors is an integer number (1818243).

Almost surely, 2^74661600 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 74661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130913496).

74661600 is an abundant number, since it is smaller than the sum of its proper divisors (187165392).

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

74661600 is a wasteful number, since it uses less digits than its factorization.

74661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74661600 is about 8640.6944165385. The cubic root of 74661600 is about 421.0811149591.

The spelling of 74661600 in words is "seventy-four million, six hundred sixty-one thousand, six hundred".