10649820 has 96 divisors (see below), whose sum is σ = 32332608. Its totient is φ = 2609152.

The previous prime is 10649801. The next prime is 10649827. The reversal of 10649820 is 2894601.

It is a super-2 number, since 2×10649820² = 226837332064800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10649827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53962 + ... + 54158.

It is an arithmetic number, because the mean of its divisors is an integer number (336798).

Almost surely, 2^10649820 is an apocalyptic number.

10649820 is a gapful number since it is divisible by the number (10) 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 10649820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166304).

10649820 is an abundant number, since it is smaller than the sum of its proper divisors (21682788).

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

10649820 is a wasteful number, since it uses less digits than its factorization.

10649820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10649820 is about 3263.4061959860. The cubic root of 10649820 is about 220.0125337212.

The spelling of 10649820 in words is "ten million, six hundred forty-nine thousand, eight hundred twenty".