1007632023 has 16 divisors (see below), whose sum is σ = 1361902080. Its totient is φ = 662605056.

The previous prime is 1007632009. The next prime is 1007632037. The reversal of 1007632023 is 3202367001.

It is an interprime number because it is at equal distance from previous prime (1007632009) and next prime (1007632037).

It is not a de Polignac number, because 1007632023 - 2¹⁰ = 1007630999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007631984 and 1007632002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007636023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83698 + ... + 94976.

It is an arithmetic number, because the mean of its divisors is an integer number (85118880).

Almost surely, 2^1007632023 is an apocalyptic number.

1007632023 is a deficient number, since it is larger than the sum of its proper divisors (354270057).

1007632023 is a wasteful number, since it uses less digits than its factorization.

1007632023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686.

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 1007632023 is about 31743.2201107575. The cubic root of 1007632023 is about 1002.5375629941.

Adding to 1007632023 its reverse (3202367001), we get a palindrome (4209999024).

The spelling of 1007632023 in words is "one billion, seven million, six hundred thirty-two thousand, twenty-three".