1631400264 has 120 divisors (see below), whose sum is σ = 4948296210. Its totient is φ = 501935616.

The previous prime is 1631400233. The next prime is 1631400269. The reversal of 1631400264 is 4620041361.

1631400264 is a `hidden beast` number, since 1 + 631 + 4 + 0 + 0 + 26 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1225700100 + 405700164 = 35010^2 + 20142^2 .

It is a super-2 number, since 2×1631400264² = 5322933642758539392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631400269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 102064 + ... + 116960.

Almost surely, 2^1631400264 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 1631400264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474148105).

1631400264 is an abundant number, since it is smaller than the sum of its proper divisors (3316895946).

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

1631400264 is a wasteful number, since it uses less digits than its factorization.

1631400264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1631400264 is about 40390.5962322915. The cubic root of 1631400264 is about 1177.2088257279.

The spelling of 1631400264 in words is "one billion, six hundred thirty-one million, four hundred thousand, two hundred sixty-four".