10069920 has 288 divisors, whose sum is σ = 41827968. Its totient is φ = 2239488.

The previous prime is 10069909. The next prime is 10069937. The reversal of 10069920 is 2996001.

10069920 = T₇₄₁ + T₇₄₂ + ... + T₇₇₅.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272142 + ... + 272178.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 2^10069920 is an apocalyptic number.

10069920 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 10069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

10069920 is an abundant number, since it is smaller than the sum of its proper divisors (31758048).

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

10069920 is an equidigital number, since it uses as much as digits as its factorization.

10069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10069920 is about 3173.3137254296. The cubic root of 10069920 is about 215.9444301493.

The spelling of 10069920 in words is "ten million, sixty-nine thousand, nine hundred twenty".