27790620 has 192 divisors, whose sum is σ = 94832640. Its totient is φ = 5990400.

The previous prime is 27790577. The next prime is 27790621. The reversal of 27790620 is 2609772.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27790621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351741 + ... + 351819.

It is an arithmetic number, because the mean of its divisors is an integer number (493920).

Almost surely, 2^27790620 is an apocalyptic number.

27790620 is a gapful number since it is divisible by the number (20) 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 27790620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

27790620 is an abundant number, since it is smaller than the sum of its proper divisors (67042020).

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

27790620 is a wasteful number, since it uses less digits than its factorization.

27790620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 27790620 is about 5271.6809463396. The cubic root of 27790620 is about 302.9000966810.

The spelling of 27790620 in words is "twenty-seven million, seven hundred ninety thousand, six hundred twenty".