1403616672 has 36 divisors (see below), whose sum is σ = 3991535730. Its totient is φ = 467872128.

The previous prime is 1403616631. The next prime is 1403616677. The reversal of 1403616672 is 2766163041.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1230325776 + 173290896 = 35076^2 + 13164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1403616677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2436547 + ... + 2437122.

Almost surely, 2^1403616672 is an apocalyptic number.

1403616672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1403616672 is an abundant number, since it is smaller than the sum of its proper divisors (2587919058).

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

1403616672 is a wasteful number, since it uses less digits than its factorization.

1403616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873685 (or 4873674 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1403616672 is about 37464.8725074569. The cubic root of 1403616672 is about 1119.6514306442.

The spelling of 1403616672 in words is "one billion, four hundred three million, six hundred sixteen thousand, six hundred seventy-two".