35556480 has 96 divisors (see below), whose sum is σ = 122800860. Its totient is φ = 9480192.

The previous prime is 35556461. The next prime is 35556529. The reversal of 35556480 is 8465553.

35556480 is a `hidden beast` number, since 3 + 5 + 5 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 5875776 = 5448^2 + 2424^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2674 + ... + 8846.

Almost surely, 2^35556480 is an apocalyptic number.

35556480 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 35556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61400430).

35556480 is an abundant number, since it is smaller than the sum of its proper divisors (87244380).

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

35556480 is a wasteful number, since it uses less digits than its factorization.

35556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 35556480 is about 5962.9254565188. The cubic root of 35556480 is about 328.8311263978.

The spelling of 35556480 in words is "thirty-five million, five hundred fifty-six thousand, four hundred eighty".