58791936 has 96 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 16785408.

The previous prime is 58791923. The next prime is 58791949. The reversal of 58791936 is 63919785.

It is an interprime number because it is at equal distance from previous prime (58791923) and next prime (58791949).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42325 + ... + 43691.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^58791936 is an apocalyptic number.

58791936 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 58791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

58791936 is an abundant number, since it is smaller than the sum of its proper divisors (120470784).

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

58791936 is a wasteful number, since it uses less digits than its factorization.

58791936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1379 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 58791936 is about 7667.5899733880. The cubic root of 58791936 is about 388.8414797656.

The spelling of 58791936 in words is "fifty-eight million, seven hundred ninety-one thousand, nine hundred thirty-six".