7690464 has 144 divisors (see below), whose sum is σ = 24216192. Its totient is φ = 2395008.

The previous prime is 7690457. The next prime is 7690483. The reversal of 7690464 is 4640967.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178827 + ... + 178869.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 2^7690464 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 7690464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108096).

7690464 is an abundant number, since it is smaller than the sum of its proper divisors (16525728).

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

7690464 is a wasteful number, since it uses less digits than its factorization.

7690464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

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

The square root of 7690464 is about 2773.1685848502. The cubic root of 7690464 is about 197.3865309867.

The spelling of 7690464 in words is "seven million, six hundred ninety thousand, four hundred sixty-four".