58661820 has 180 divisors, whose sum is σ = 214358760. Its totient is φ = 13390272.

The previous prime is 58661791. The next prime is 58661821. The reversal of 58661820 is 2816685.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58661821) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 79011 + ... + 79749.

It is an arithmetic number, because the mean of its divisors is an integer number (1190882).

It is a vampire number, since it can be written as 6651 ⋅ 8820 (with its own digits).

Almost surely, 2^58661820 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 58661820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107179380).

58661820 is an abundant number, since it is smaller than the sum of its proper divisors (155696940).

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

58661820 is a wasteful number, since it uses less digits than its factorization.

58661820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

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

The square root of 58661820 is about 7659.1004693763. The cubic root of 58661820 is about 388.5544116631.

The spelling of 58661820 in words is "fifty-eight million, six hundred sixty-one thousand, eight hundred twenty".