33142464 has 84 divisors (see below), whose sum is σ = 95850456. Its totient is φ = 10948608.

The previous prime is 33142423. The next prime is 33142477. The reversal of 33142464 is 46424133.

33142464 is nontrivially palindromic in base 7.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93712 + ... + 94064.

Almost surely, 2^33142464 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 33142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47925228).

33142464 is an abundant number, since it is smaller than the sum of its proper divisors (62707992).

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

33142464 is a wasteful number, since it uses less digits than its factorization.

33142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 33142464 is about 5756.9491920634. The cubic root of 33142464 is about 321.2143442791.

Adding to 33142464 its reverse (46424133), we get a palindrome (79566597).

It can be divided in two parts, 3314 and 2464, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 33142464 in words is "thirty-three million, one hundred forty-two thousand, four hundred sixty-four".