1403672064 has 160 divisors (see below), whose sum is σ = 3959746560. Its totient is φ = 441139200.

The previous prime is 1403672057. The next prime is 1403672077. The reversal of 1403672064 is 4602763041.

It is a happy number.

It is a super-3 number, since 3×1403672064³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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, 1951897 + ... + 1952615.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^1403672064 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 1403672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979873280).

1403672064 is an abundant number, since it is smaller than the sum of its proper divisors (2556074496).

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

1403672064 is an equidigital number, since it uses as much as digits as its factorization.

1403672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1403672064 is about 37465.6117526459. The cubic root of 1403672064 is about 1119.6661590045. Note that the first 3 decimals are identical.

The spelling of 1403672064 in words is "one billion, four hundred three million, six hundred seventy-two thousand, sixty-four".