35557968 has 80 divisors (see below), whose sum is σ = 97771520. Its totient is φ = 11104128.

The previous prime is 35557967. The next prime is 35557981. The reversal of 35557968 is 86975553.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35557967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115671 + ... + 115977.

It is an arithmetic number, because the mean of its divisors is an integer number (1222144).

Almost surely, 2^35557968 is an apocalyptic number.

35557968 is a gapful number since it is divisible by the number (38) 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 35557968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48885760).

35557968 is an abundant number, since it is smaller than the sum of its proper divisors (62213552).

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

35557968 is a wasteful number, since it uses less digits than its factorization.

35557968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 35557968 is about 5963.0502261846. The cubic root of 35557968 is about 328.8357134087.

The spelling of 35557968 in words is "thirty-five million, five hundred fifty-seven thousand, nine hundred sixty-eight".