7551264 has 96 divisors (see below), whose sum is σ = 24022656. Its totient is φ = 2027520.

The previous prime is 7551263. The next prime is 7551287. The reversal of 7551264 is 4621557.

7551264 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).

It is not an unprimeable number, because it can be changed into a prime (7551263) 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, 11094 + ... + 11754.

It is an arithmetic number, because the mean of its divisors is an integer number (250236).

Almost surely, 2^7551264 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 7551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011328).

7551264 is an abundant number, since it is smaller than the sum of its proper divisors (16471392).

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

7551264 is a wasteful number, since it uses less digits than its factorization.

7551264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 7551264 is about 2747.9563315308. The cubic root of 7551264 is about 196.1883514964.

The spelling of 7551264 in words is "seven million, five hundred fifty-one thousand, two hundred sixty-four".