10626820 has 24 divisors (see below), whose sum is σ = 22377600. Its totient is φ = 4239072.

The previous prime is 10626809. The next prime is 10626823. The reversal of 10626820 is 2862601.

It is a super-2 number, since 2×10626820² = 225858606624800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10626823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14011 + ... + 14749.

It is an arithmetic number, because the mean of its divisors is an integer number (932400).

Almost surely, 2^10626820 is an apocalyptic number.

10626820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10626820 is an abundant number, since it is smaller than the sum of its proper divisors (11750780).

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

10626820 is a wasteful number, since it uses less digits than its factorization.

10626820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10626820 is about 3259.8803659030. The cubic root of 10626820 is about 219.8540354089.

It can be divided in two parts, 106 and 26820, that multiplied together give a triangular number (2842920 = T₂₃₈₄).

The spelling of 10626820 in words is "ten million, six hundred twenty-six thousand, eight hundred twenty".