35422560 has 144 divisors (see below), whose sum is σ = 128078496. Its totient is φ = 8884224.

The previous prime is 35422559. The next prime is 35422561. The reversal of 35422560 is 6522453.

It is an interprime number because it is at equal distance from previous prime (35422559) and next prime (35422561).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×35422560³ (a number of 24 digits) contains 333 as substring.

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 (35422561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23757 + ... + 25203.

It is an arithmetic number, because the mean of its divisors is an integer number (889434).

Almost surely, 2^35422560 is an apocalyptic number.

35422560 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 35422560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039248).

35422560 is an abundant number, since it is smaller than the sum of its proper divisors (92655936).

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

35422560 is a wasteful number, since it uses less digits than its factorization.

35422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 35422560 is about 5951.6854755607. The cubic root of 35422560 is about 328.4177702620.

The spelling of 35422560 in words is "thirty-five million, four hundred twenty-two thousand, five hundred sixty".