6977152 has 64 divisors (see below), whose sum is σ = 17136000. Its totient is φ = 2755584.

The previous prime is 6977147. The next prime is 6977153. The reversal of 6977152 is 2517796.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6977152² = 97361300062208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6977153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11349 + ... + 11947.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 2^6977152 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 6977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568000).

6977152 is an abundant number, since it is smaller than the sum of its proper divisors (10158848).

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

6977152 is a wasteful number, since it uses less digits than its factorization.

6977152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its digits is 26460, while the sum is 37.

The square root of 6977152 is about 2641.4299157843. The cubic root of 6977152 is about 191.0847645110.

The spelling of 6977152 in words is "six million, nine hundred seventy-seven thousand, one hundred fifty-two".