98951400 has 72 divisors (see below), whose sum is σ = 332317830. Its totient is φ = 26386560.

The previous prime is 98951389. The next prime is 98951423. The reversal of 98951400 is 415989.

It can be written as a sum of positive squares in 3 ways, for example, as 69856164 + 29095236 = 8358^2 + 5394^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25687 + ... + 29286.

Almost surely, 2^98951400 is an apocalyptic number.

98951400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

98951400 is an abundant number, since it is smaller than the sum of its proper divisors (233366430).

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

98951400 is a wasteful number, since it uses less digits than its factorization.

98951400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54995 (or 54983 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 98951400 is about 9947.4318293718. The cubic root of 98951400 is about 462.5307892821.

The spelling of 98951400 in words is "ninety-eight million, nine hundred fifty-one thousand, four hundred".