1901209632 has 96 divisors (see below), whose sum is σ = 5754333312. Its totient is φ = 538374144.

The previous prime is 1901209627. The next prime is 1901209649. The reversal of 1901209632 is 2369021091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1901209632² = 7229196129619150848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1901209593 and 1901209602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63418 + ... + 88454.

It is an arithmetic number, because the mean of its divisors is an integer number (59940972).

Almost surely, 2^1901209632 is an apocalyptic number.

1901209632 is a gapful number since it is divisible by the number (12) 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 1901209632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877166656).

1901209632 is an abundant number, since it is smaller than the sum of its proper divisors (3853123680).

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

1901209632 is a wasteful number, since it uses less digits than its factorization.

1901209632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25170 (or 25162 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 1901209632 is about 43602.8626583164. The cubic root of 1901209632 is about 1238.8251167876.

The spelling of 1901209632 in words is "one billion, nine hundred one million, two hundred nine thousand, six hundred thirty-two".