37620 has 72 divisors (see below), whose sum is σ = 131040. Its totient is φ = 8640.

The previous prime is 37619. The next prime is 37633. The reversal of 37620 is 2673.

37620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 37593 and 37602.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37620.

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, 1971 + ... + 1989.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

2³⁷⁶²⁰ is an apocalyptic number.

37620 is a gapful number since it is divisible by the number (30) 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 37620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

37620 is an abundant number, since it is smaller than the sum of its proper divisors (93420).

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

37620 is a wasteful number, since it uses less digits than its factorization.

37620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 37620 is about 193.9587585029. The cubic root of 37620 is about 33.5073125790.

The spelling of 37620 in words is "thirty-seven thousand, six hundred twenty".