98761950 has 144 divisors (see below), whose sum is σ = 316787760. Its totient is φ = 22559040.

The previous prime is 98761933. The next prime is 98761967. The reversal of 98761950 is 5916789.

It is an interprime number because it is at equal distance from previous prime (98761933) and next prime (98761967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 98761896 and 98761905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65404 + ... + 66896.

It is an arithmetic number, because the mean of its divisors is an integer number (2199915).

Almost surely, 2^98761950 is an apocalyptic number.

98761950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 98761950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158393880).

98761950 is an abundant number, since it is smaller than the sum of its proper divisors (218025810).

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

98761950 is a wasteful number, since it uses less digits than its factorization.

98761950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 98761950 is about 9937.9047087402. The cubic root of 98761950 is about 462.2354172103.

The spelling of 98761950 in words is "ninety-eight million, seven hundred sixty-one thousand, nine hundred fifty".