946971648 has 330 divisors, whose sum is σ = 3303649206. Its totient is φ = 269402112.

The previous prime is 946971637. The next prime is 946971661. The reversal of 946971648 is 846179649.

It can be written as a sum of positive squares in only one way, i.e., 686859264 + 260112384 = 26208^2 + 16128^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 946971594 and 946971603.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4064140 + ... + 4064372.

Almost surely, 2^946971648 is an apocalyptic number.

946971648 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651824603).

946971648 is an abundant number, since it is smaller than the sum of its proper divisors (2356677558).

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

946971648 is a wasteful number, since it uses less digits than its factorization.

946971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 946971648 is about 30772.9044453071. The cubic root of 946971648 is about 982.0018942421.

The spelling of 946971648 in words is "nine hundred forty-six million, nine hundred seventy-one thousand, six hundred forty-eight".