6985620 has 54 divisors (see below), whose sum is σ = 21297822. Its totient is φ = 1853376.

The previous prime is 6985609. The next prime is 6985631. The reversal of 6985620 is 265896.

6985620 is a `hidden beast` number, since 6 + 98 + 562 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6985609) and next prime (6985631).

It can be written as a sum of positive squares in 3 ways, for example, as 4717584 + 2268036 = 2172^2 + 1506^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35362 + ... + 35558.

Almost surely, 2^6985620 is an apocalyptic number.

6985620 is a gapful number since it is divisible by the number (60) 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 6985620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648911).

6985620 is an abundant number, since it is smaller than the sum of its proper divisors (14312202).

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

6985620 is a wasteful number, since it uses less digits than its factorization.

6985620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6985620 is about 2643.0323494048. The cubic root of 6985620 is about 191.1620382376.

Multiplying 6985620 by its product of nonzero digits (25920), we get a square (181067270400 = 425520²).

The spelling of 6985620 in words is "six million, nine hundred eighty-five thousand, six hundred twenty".