59082240 has 240 divisors, whose sum is σ = 221115312. Its totient is φ = 13418496.

The previous prime is 59082211. The next prime is 59082269. The reversal of 59082240 is 4228095.

It is an interprime number because it is at equal distance from previous prime (59082211) and next prime (59082269).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×59082240² = 6981422166835200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 59082198 and 59082207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376242 + ... + 376398.

Almost surely, 2^59082240 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 59082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110557656).

59082240 is an abundant number, since it is smaller than the sum of its proper divisors (162033072).

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

59082240 is a wasteful number, since it uses less digits than its factorization.

59082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 59082240 is about 7686.4972516745. The cubic root of 59082240 is about 389.4804389791.

The spelling of 59082240 in words is "fifty-nine million, eighty-two thousand, two hundred forty".