1076101632 has 320 divisors, whose sum is σ = 3564950400. Its totient is φ = 318504960.

The previous prime is 1076101627. The next prime is 1076101657. The reversal of 1076101632 is 2361016701.

1076101632 is a `hidden beast` number, since 1 + 0 + 7 + 610 + 16 + 32 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1076101596 and 1076101605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4465032 + ... + 4465272.

It is an arithmetic number, because the mean of its divisors is an integer number (11140470).

Almost surely, 2^1076101632 is an apocalyptic number.

1076101632 is a gapful number since it is divisible by the number (12) 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 1076101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782475200).

1076101632 is an abundant number, since it is smaller than the sum of its proper divisors (2488848768).

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

1076101632 is a wasteful number, since it uses less digits than its factorization.

1076101632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1076101632 is about 32803.9880502356. The cubic root of 1076101632 is about 1024.7496138756.

The spelling of 1076101632 in words is "one billion, seventy-six million, one hundred one thousand, six hundred thirty-two".