8032464 has 90 divisors (see below), whose sum is σ = 24762738. Its totient is φ = 2428800.

The previous prime is 8032439. The next prime is 8032471. The reversal of 8032464 is 4642308.

8032464 = T₁₂₇ + T₁₂₈ + ... + T₃₆₈.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 1742400 = 2508^2 + 1320^2 .

It is a super-2 number, since 2×8032464² = 129040955822592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17194 + ... + 17654.

Almost surely, 2^8032464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8032464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12381369).

8032464 is an abundant number, since it is smaller than the sum of its proper divisors (16730274).

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

8032464 is a wasteful number, since it uses less digits than its factorization.

8032464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8032464 is about 2834.1601930731. The cubic root of 8032464 is about 200.2701682147.

The spelling of 8032464 in words is "eight million, thirty-two thousand, four hundred sixty-four".