33540480 has 160 divisors (see below), whose sum is σ = 119964240. Its totient is φ = 8930304.

The previous prime is 33540461. The next prime is 33540503. The reversal of 33540480 is 8404533.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33540480² = 2249927597260800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51517 + ... + 52163.

Almost surely, 2^33540480 is an apocalyptic number.

33540480 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 33540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59982120).

33540480 is an abundant number, since it is smaller than the sum of its proper divisors (86423760).

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

33540480 is an equidigital number, since it uses as much as digits as its factorization.

33540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 33540480 is about 5791.4143350308. The cubic root of 33540480 is about 322.4950783457.

The spelling of 33540480 in words is "thirty-three million, five hundred forty thousand, four hundred eighty".