901028640 has 192 divisors, whose sum is σ = 3084963840. Its totient is φ = 220216320.

The previous prime is 901028633. The next prime is 901028683. The reversal of 901028640 is 46820109.

It is a super-2 number, since 2×901028640² = 1623705220200499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 901028598 and 901028607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281127 + ... + 284313.

It is an arithmetic number, because the mean of its divisors is an integer number (16067520).

Almost surely, 2^901028640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542481920).

901028640 is an abundant number, since it is smaller than the sum of its proper divisors (2183935200).

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

901028640 is a wasteful number, since it uses less digits than its factorization.

901028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 901028640 is about 30017.1391041851. The cubic root of 901028640 is about 965.8570745597.

Adding to 901028640 its reverse (46820109), we get a palindrome (947848749).

The spelling of 901028640 in words is "nine hundred one million, twenty-eight thousand, six hundred forty".