32970240 has 240 divisors, whose sum is σ = 120648528. Its totient is φ = 8626176.

The previous prime is 32970239. The next prime is 32970241. The reversal of 32970240 is 4207923.

It is an interprime number because it is at equal distance from previous prime (32970239) and next prime (32970241).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32970241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622054 + ... + 622106.

Almost surely, 2^32970240 is an apocalyptic number.

32970240 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 32970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324264).

32970240 is an abundant number, since it is smaller than the sum of its proper divisors (87678288).

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

32970240 is an frugal number, since it uses more digits than its factorization.

32970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 32970240 is about 5741.9717867645. The cubic root of 32970240 is about 320.6569835746.

The spelling of 32970240 in words is "thirty-two million, nine hundred seventy thousand, two hundred forty".