74103680 has 192 divisors, whose sum is σ = 219769200. Its totient is φ = 23740416.

The previous prime is 74103647. The next prime is 74103683. The reversal of 74103680 is 8630147.

74103680 = 196² + 197² + ... + 612².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74103683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533051 + ... + 533189.

Almost surely, 2^74103680 is an apocalyptic number.

74103680 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 74103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109884600).

74103680 is an abundant number, since it is smaller than the sum of its proper divisors (145665520).

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

74103680 is a wasteful number, since it uses less digits than its factorization.

74103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 74103680 is about 8608.3494352867. The cubic root of 74103680 is about 420.0296275396.

The spelling of 74103680 in words is "seventy-four million, one hundred three thousand, six hundred eighty".