16429820 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 5350400.

The previous prime is 16429811. The next prime is 16429823. The reversal of 16429820 is 2892461.

16429820 = T₂₉₅ + T₂₉₆ + ... + T₄₉₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16429823) 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, 85925 + ... + 86115.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^16429820 is an apocalyptic number.

16429820 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 16429820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

16429820 is an abundant number, since it is smaller than the sum of its proper divisors (25373956).

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

16429820 is a wasteful number, since it uses less digits than its factorization.

16429820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 16429820 is about 4053.3714362244. The cubic root of 16429820 is about 254.2207145952.

The spelling of 16429820 in words is "sixteen million, four hundred twenty-nine thousand, eight hundred twenty".