1020297600 has 576 divisors, whose sum is σ = 4361662800. Its totient is φ = 232243200.

The previous prime is 1020297599. The next prime is 1020297601. The reversal of 1020297600 is 67920201.

1020297600 is a `hidden beast` number, since 10 + 20 + 29 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1020297599) and next prime (1020297601).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020297601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233480 + ... + 4233720.

Almost surely, 2^1020297600 is an apocalyptic number.

1020297600 is a gapful number since it is divisible by the number (10) 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 1020297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180831400).

1020297600 is an abundant number, since it is smaller than the sum of its proper divisors (3341365200).

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

1020297600 is a wasteful number, since it uses less digits than its factorization.

1020297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 258 counting only the distinct ones).

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

The square root of 1020297600 is about 31942.0976142770. The cubic root of 1020297600 is about 1006.7205990334.

The spelling of 1020297600 in words is "one billion, twenty million, two hundred ninety-seven thousand, six hundred".