34632060 has 96 divisors (see below), whose sum is σ = 108138240. Its totient is φ = 8229888.

The previous prime is 34632049. The next prime is 34632067. The reversal of 34632060 is 6023643.

It is a self number, because there is not a number n which added to its sum of digits gives 34632060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34632067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18487 + ... + 20273.

It is an arithmetic number, because the mean of its divisors is an integer number (1126440).

Almost surely, 2^34632060 is an apocalyptic number.

34632060 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 34632060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54069120).

34632060 is an abundant number, since it is smaller than the sum of its proper divisors (73506180).

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

34632060 is a wasteful number, since it uses less digits than its factorization.

34632060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34632060 is about 5884.9010187088. The cubic root of 34632060 is about 325.9563467964.

The spelling of 34632060 in words is "thirty-four million, six hundred thirty-two thousand, sixty".