32298420 has 96 divisors (see below), whose sum is σ = 112766976. Its totient is φ = 6710400.

The previous prime is 32298407. The next prime is 32298433. The reversal of 32298420 is 2489223.

32298420 = T₁₃₄₁ + T₁₃₄₂ + ... + T₁₃₇₅.

It is an interprime number because it is at equal distance from previous prime (32298407) and next prime (32298433).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125 + ... + 8115.

It is an arithmetic number, because the mean of its divisors is an integer number (1174656).

Almost surely, 2^32298420 is an apocalyptic number.

32298420 is a gapful number since it is divisible by the number (30) 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 32298420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56383488).

32298420 is an abundant number, since it is smaller than the sum of its proper divisors (80468556).

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

32298420 is a wasteful number, since it uses less digits than its factorization.

32298420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 32298420 is about 5683.1698901229. The cubic root of 32298420 is about 318.4640588307.

The spelling of 32298420 in words is "thirty-two million, two hundred ninety-eight thousand, four hundred twenty".