7933464 has 192 divisors, whose sum is σ = 28304640. Its totient is φ = 2021760.

The previous prime is 7933463. The next prime is 7933481. The reversal of 7933464 is 4643397.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7933463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149662 + ... + 149714.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^7933464 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 7933464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

7933464 is an abundant number, since it is smaller than the sum of its proper divisors (20371176).

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

7933464 is a wasteful number, since it uses less digits than its factorization.

7933464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 76 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 7933464 is about 2816.6405521472. The cubic root of 7933464 is about 199.4439890247.

The spelling of 7933464 in words is "seven million, nine hundred thirty-three thousand, four hundred sixty-four".