5377632 has 96 divisors (see below), whose sum is σ = 15805440. Its totient is φ = 1589760.

The previous prime is 5377613. The next prime is 5377637. The reversal of 5377632 is 2367735.

5377632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (26460) is a multiple of the sum of its prime factors (196).

It is a junction number, because it is equal to n+sod(n) for n = 5377593 and 5377602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38619 + ... + 38757.

It is an arithmetic number, because the mean of its divisors is an integer number (164640).

Almost surely, 2^5377632 is an apocalyptic number.

5377632 is a gapful number since it is divisible by the number (52) 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 5377632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902720).

5377632 is an abundant number, since it is smaller than the sum of its proper divisors (10427808).

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

5377632 is a wasteful number, since it uses less digits than its factorization.

5377632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its digits is 26460, while the sum is 33.

The square root of 5377632 is about 2318.9721861204. The cubic root of 5377632 is about 175.1984904271.

The spelling of 5377632 in words is "five million, three hundred seventy-seven thousand, six hundred thirty-two".