73898496 has 240 divisors, whose sum is σ = 255340800. Its totient is φ = 20127744.

The previous prime is 73898491. The next prime is 73898501. The reversal of 73898496 is 69489837.

73898496 is a `hidden beast` number, since 73 + 89 + 8 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (73898491) and next prime (73898501).

It is a super-2 number, since 2×73898496² = 10921975422124032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (73898491) 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, 935385 + ... + 935463.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^73898496 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 73898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127670400).

73898496 is an abundant number, since it is smaller than the sum of its proper divisors (181442304).

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

73898496 is a wasteful number, since it uses less digits than its factorization.

73898496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 73898496 is about 8596.4234423393. The cubic root of 73898496 is about 419.6415990125.

The spelling of 73898496 in words is "seventy-three million, eight hundred ninety-eight thousand, four hundred ninety-six".