87948400 has 30 divisors (see below), whose sum is σ = 211296992. Its totient is φ = 35179200.

The previous prime is 87948353. The next prime is 87948451. The reversal of 87948400 is 484978.

87948400 = T₄₅₃ + T₄₅₄ + ... + T₈₅₂.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109536 + ... + 110335.

Almost surely, 2^87948400 is an apocalyptic number.

87948400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87948400 is an abundant number, since it is smaller than the sum of its proper divisors (123348592).

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

87948400 is a wasteful number, since it uses less digits than its factorization.

87948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219889 (or 219878 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 87948400 is about 9378.0808271202. The cubic root of 87948400 is about 444.7090637125.

The spelling of 87948400 in words is "eighty-seven million, nine hundred forty-eight thousand, four hundred".