58314816 has 140 divisors (see below), whose sum is σ = 197681088. Its totient is φ = 16651008.

The previous prime is 58314797. The next prime is 58314863. The reversal of 58314816 is 61841385.

It is a super-2 number, since 2×58314816² = 6801235530227712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35485 + ... + 37091.

Almost surely, 2^58314816 is an apocalyptic number.

58314816 is a gapful number since it is divisible by the number (56) 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 58314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98840544).

58314816 is an abundant number, since it is smaller than the sum of its proper divisors (139366272).

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

58314816 is a wasteful number, since it uses less digits than its factorization.

58314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1619 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 58314816 is about 7636.4138180169. The cubic root of 58314816 is about 387.7867535469.

The spelling of 58314816 in words is "fifty-eight million, three hundred fourteen thousand, eight hundred sixteen".