35968320 has 224 divisors, whose sum is σ = 133136640. Its totient is φ = 9123840.

The previous prime is 35968319. The next prime is 35968327. The reversal of 35968320 is 2386953.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35968327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198630 + ... + 198810.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^35968320 is an apocalyptic number.

35968320 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 35968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

35968320 is an abundant number, since it is smaller than the sum of its proper divisors (97168320).

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

35968320 is a wasteful number, since it uses less digits than its factorization.

35968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 35968320 is about 5997.3594189443. The cubic root of 35968320 is about 330.0958399317.

The spelling of 35968320 in words is "thirty-five million, nine hundred sixty-eight thousand, three hundred twenty".