202029984 has 96 divisors (see below), whose sum is σ = 634616640. Its totient is φ = 62159616.

The previous prime is 202029973. The next prime is 202030009. The reversal of 202029984 is 489920202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×202029984² = 81632228870080512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239 + ... + 20225.

It is an arithmetic number, because the mean of its divisors is an integer number (6610590).

Almost surely, 2^202029984 is an apocalyptic number.

202029984 is a gapful number since it is divisible by the number (24) 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 202029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317308320).

202029984 is an abundant number, since it is smaller than the sum of its proper divisors (432586656).

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

202029984 is a wasteful number, since it uses less digits than its factorization.

202029984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18019 (or 18005 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 202029984 is about 14213.7251978501. The cubic root of 202029984 is about 586.7754607693.

The spelling of 202029984 in words is "two hundred two million, twenty-nine thousand, nine hundred eighty-four".