901638 has 32 divisors (see below), whose sum is σ = 2044800. Its totient is φ = 294408.

The previous prime is 901613. The next prime is 901643. The reversal of 901638 is 836109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

901638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3045 + ... + 3327.

It is an arithmetic number, because the mean of its divisors is an integer number (63900).

2⁹⁰¹⁶³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022400).

901638 is an abundant number, since it is smaller than the sum of its proper divisors (1143162).

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

901638 is a wasteful number, since it uses less digits than its factorization.

901638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 901638 is about 949.5462074065. The cubic root of 901638 is about 96.6074759848.

It can be divided in two parts, 90 and 1638, that added together give a cube (1728 = 12³).

The spelling of 901638 in words is "nine hundred one thousand, six hundred thirty-eight".