32999040 has 192 divisors, whose sum is σ = 121010760. Its totient is φ = 8257536.

The previous prime is 32999039. The next prime is 32999059. The reversal of 32999040 is 4099923.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 5875776 = 5208^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 32998986 and 32999004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97752 + ... + 98088.

Almost surely, 2^32999040 is an apocalyptic number.

32999040 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 32999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60505380).

32999040 is an abundant number, since it is smaller than the sum of its proper divisors (88011720).

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

32999040 is a wasteful number, since it uses less digits than its factorization.

32999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 32999040 is about 5744.4790886555. The cubic root of 32999040 is about 320.7503226331.

The spelling of 32999040 in words is "thirty-two million, nine hundred ninety-nine thousand, forty".