35468640 has 72 divisors (see below), whose sum is σ = 121041648. Its totient is φ = 9457920.

The previous prime is 35468627. The next prime is 35468669. The reversal of 35468640 is 4686453.

35468640 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 35468595 and 35468604.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10876 + ... + 13755.

It is an arithmetic number, because the mean of its divisors is an integer number (1681134).

Almost surely, 2^35468640 is an apocalyptic number.

35468640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35468640 is an abundant number, since it is smaller than the sum of its proper divisors (85573008).

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

35468640 is a wasteful number, since it uses less digits than its factorization.

35468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24652 (or 24641 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 35468640 is about 5955.5553897181. Note that the first 3 decimals coincide. The cubic root of 35468640 is about 328.5601177131.

The spelling of 35468640 in words is "thirty-five million, four hundred sixty-eight thousand, six hundred forty".