1098761664 has 224 divisors, whose sum is σ = 3903975936. Its totient is φ = 263393280.

The previous prime is 1098761633. The next prime is 1098761669. The reversal of 1098761664 is 4661678901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1098761669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189334 + ... + 195050.

It is an arithmetic number, because the mean of its divisors is an integer number (17428464).

Almost surely, 2^1098761664 is an apocalyptic number.

1098761664 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 1098761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951987968).

1098761664 is an abundant number, since it is smaller than the sum of its proper divisors (2805214272).

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

1098761664 is a wasteful number, since it uses less digits than its factorization.

1098761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 1098761664 is about 33147.5740288788. The cubic root of 1098761664 is about 1031.8926034505.

The spelling of 1098761664 in words is "one billion, ninety-eight million, seven hundred sixty-one thousand, six hundred sixty-four".