73684464 has 80 divisors (see below), whose sum is σ = 223461888. Its totient is φ = 20480256.

The previous prime is 73684463. The next prime is 73684517. The reversal of 73684464 is 46448637.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73684463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9469 + ... + 15395.

Almost surely, 2^73684464 is an apocalyptic number.

73684464 is a gapful number since it is divisible by the number (74) 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 73684464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111730944).

73684464 is an abundant number, since it is smaller than the sum of its proper divisors (149777424).

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

73684464 is a wasteful number, since it uses less digits than its factorization.

73684464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5976 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 73684464 is about 8583.9655171721. The cubic root of 73684464 is about 419.2360716682.

The spelling of 73684464 in words is "seventy-three million, six hundred eighty-four thousand, four hundred sixty-four".