10746820 has 48 divisors (see below), whose sum is σ = 26691840. Its totient is φ = 3556224.

The previous prime is 10746817. The next prime is 10746823. The reversal of 10746820 is 2864701.

It is an interprime number because it is at equal distance from previous prime (10746817) and next prime (10746823).

It is a super-2 number, since 2×10746820² = 230988280224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10746823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2737 + ... + 5383.

It is an arithmetic number, because the mean of its divisors is an integer number (556080).

Almost surely, 2^10746820 is an apocalyptic number.

10746820 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 10746820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345920).

10746820 is an abundant number, since it is smaller than the sum of its proper divisors (15945020).

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

10746820 is a wasteful number, since it uses less digits than its factorization.

10746820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10746820 is about 3278.2342808286. The cubic root of 10746820 is about 220.6784839049.

The spelling of 10746820 in words is "ten million, seven hundred forty-six thousand, eight hundred twenty".