355642560 has 672 divisors, whose sum is σ = 1597639680. Its totient is φ = 70557696.

The previous prime is 355642549. The next prime is 355642597. The reversal of 355642560 is 65246553.

It is a happy number.

355642560 is a `hidden beast` number, since 3 + 5 + 5 + 642 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6027811 + ... + 6027869.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^355642560 is an apocalyptic number.

355642560 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 355642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798819840).

355642560 is an abundant number, since it is smaller than the sum of its proper divisors (1241997120).

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

355642560 is a wasteful number, since it uses less digits than its factorization.

355642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 355642560 is about 18858.4877442493. The cubic root of 355642560 is about 708.4968264206.

The spelling of 355642560 in words is "three hundred fifty-five million, six hundred forty-two thousand, five hundred sixty".