1010475648 has 672 divisors, whose sum is σ = 4003462260. Its totient is φ = 250822656.

The previous prime is 1010475637. The next prime is 1010475691. The reversal of 1010475648 is 8465740101.

It is a happy number.

1010475648 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 7 + 5 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 2286144 = 31752^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1010475648² = 2042122070402039808, which contains 22 as substring.

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 polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 59439736 + ... + 59439752.

Almost surely, 2^1010475648 is an apocalyptic number.

1010475648 is a gapful number since it is divisible by the number (18) 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 1010475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001731130).

1010475648 is an abundant number, since it is smaller than the sum of its proper divisors (2992986612).

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

1010475648 is an equidigital number, since it uses as much as digits as its factorization.

1010475648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1010475648 is about 31787.9796149425. The cubic root of 1010475648 is about 1003.4797598926.

The spelling of 1010475648 in words is "one billion, ten million, four hundred seventy-five thousand, six hundred forty-eight".