88953984 has 128 divisors (see below), whose sum is σ = 300124800. Its totient is φ = 25408512.

The previous prime is 88953941. The next prime is 88953989. The reversal of 88953984 is 48935988.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×88953984² = 15825622538944512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 88953984.

It is not an unprimeable number, because it can be changed into a prime (88953989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22354 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (2344725).

Almost surely, 2^88953984 is an apocalyptic number.

88953984 is a gapful number since it is divisible by the number (84) 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 88953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150062400).

88953984 is an abundant number, since it is smaller than the sum of its proper divisors (211170816).

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

88953984 is a wasteful number, since it uses less digits than its factorization.

88953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3689 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 88953984 is about 9431.5419736117. The cubic root of 88953984 is about 446.3975488361.

The spelling of 88953984 in words is "eighty-eight million, nine hundred fifty-three thousand, nine hundred eighty-four".