632148264 has 192 divisors, whose sum is σ = 2047032000. Its totient is φ = 173967360.

The previous prime is 632148263. The next prime is 632148271. The reversal of 632148264 is 462841236.

632148264 is a `hidden beast` number, since 632 + 14 + 8 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×632148264² = 799222855356427392, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (632148263) 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, 389647 + ... + 391265.

It is an arithmetic number, because the mean of its divisors is an integer number (10661625).

Almost surely, 2^632148264 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 632148264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023516000).

632148264 is an abundant number, since it is smaller than the sum of its proper divisors (1414883736).

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

632148264 is a wasteful number, since it uses less digits than its factorization.

632148264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1681 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 632148264 is about 25142.5588196588. The cubic root of 632148264 is about 858.2351874541.

The spelling of 632148264 in words is "six hundred thirty-two million, one hundred forty-eight thousand, two hundred sixty-four".