1020137664 has 336 divisors, whose sum is σ = 3567379200. Its totient is φ = 254306304.

The previous prime is 1020137639. The next prime is 1020137689. The reversal of 1020137664 is 4667310201.

It is an interprime number because it is at equal distance from previous prime (1020137639) and next prime (1020137689).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1020137664² = 2081361707022753792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2323557 + ... + 2323995.

It is an arithmetic number, because the mean of its divisors is an integer number (10617200).

Almost surely, 2^1020137664 is an apocalyptic number.

1020137664 is a gapful number since it is divisible by the number (14) 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 1020137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783689600).

1020137664 is an abundant number, since it is smaller than the sum of its proper divisors (2547241536).

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

1020137664 is a wasteful number, since it uses less digits than its factorization.

1020137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1020137664 is about 31939.5939861483. The cubic root of 1020137664 is about 1006.6679937022.

Adding to 1020137664 its reverse (4667310201), we get a palindrome (5687447865).

The spelling of 1020137664 in words is "one billion, twenty million, one hundred thirty-seven thousand, six hundred sixty-four".