58746240 has 384 divisors, whose sum is σ = 244408320. Its totient is φ = 12718080.

The previous prime is 58746229. The next prime is 58746251. The reversal of 58746240 is 4264785.

It is an interprime number because it is at equal distance from previous prime (58746229) and next prime (58746251).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×58746240² = 6902241428275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 58746195 and 58746204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249897 + ... + 1249943.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^58746240 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 58746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122204160).

58746240 is an abundant number, since it is smaller than the sum of its proper divisors (185662080).

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

58746240 is a wasteful number, since it uses less digits than its factorization.

58746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 58746240 is about 7664.6095790979. The cubic root of 58746240 is about 388.7407113781.

The spelling of 58746240 in words is "fifty-eight million, seven hundred forty-six thousand, two hundred forty".